(General math) a. Write a C++ program to calculate and display the value of the slope of the line connecting two points with the coordinates (3,7) and (8,12). Use the fact that the slope between two points with the coordinates ( x 1 , y 1 ) a n d ( x 2 , y 2 ) i s ( y 2 − y 1 ) / ( x 2 − x 1 ) . b. How do you know the result your program produced is correct? c. After verifying the output your program produces, modify it to determine the slope of the line connecting the points (2,10) and (12,6). d. What do you think will happen if you use the points (2,3) and (2,4), which results in a division by zero? How do you think this situation can be handled? e. If your program doesn’t already do so, change its output to this: The value of the slope is xxx.xx The xxx.xx denotes placing the calculated value in a field wide enough for three places to the left of the decimal point and two places to the right of it.

Question

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Answer 1

Textbook Question

Chapter 3, Problem 1PP

(General math) a. Write a C++ program to calculate and display the value of the slope of the line connecting two points with the coordinates (3,7) and (8,12). Use the fact that the slope between two points with the coordinates $( x 1 , y 1 ) a n d ( x 2 , y 2 ) i s ( y 2 − y 1 ) / ( x 2 − x 1 ) .$

b. How do you know the result your program produced is correct?

c. After verifying the output your program produces, modify it to determine the slope of the line connecting the points (2,10) and (12,6).

d. What do you think will happen if you use the points (2,3) and (2,4), which results in a division by zero? How do you think this situation can be handled?

e. If your program doesn’t already do so, change its output to this:

The value of the slope is xxx.xx

The xxx.xx denotes placing the calculated value in a field wide enough for three places to the left of the decimal point and two places to the right of it.

(a)

Expert Solution

Program Plan Intro

Program plan: -

Variables

used in the following program are given below: -

line_slope: -To store the slope of the line
a1, a2: - To store the coordinates point values of x1 and x2.
b1, b2: - To store the coordinate point values of y1 and y2.

Formula used: - (b2 − b1)/(a2 − a1)

Program description: -The purpose of the C++ program is to determine the slope of the line connecting two points with the coordinates (3, 7) and (8, 12).

Program Description Answer

1

Explanation of Solution

Given information:

The slope between two points with the coordinates $(x1,y1)$ and $(x2,y2)$ is $(y2−y1)/(x2−x1)$

Program:

//header file
#include <iostream>
//using the namespace
usingnamespacestd;
intmain()
{
//declaring the variables
floatline_slope, a1 =3, a2 =8, b1 =7, b2 =12;
//calculating the slope of the line connecting two points
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope of the line_slope
cout<<"Slope of a line is: "<<line_slope<<endl;
//return statement
return0;
}

Explanation:

The above code is used to calculate the slope of a line connecting the two points.

Firstly, declaring the variables of float data type. The variable line_slope will store the slope of the line, a1, a2 and b1, b2 is used to store the coordinates point values of x1, x2 and y1, y2.

The slope of a line is calculated by the given formula $(y2−y1)/(x2−x1)$ .

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 1

(b)

Expert Solution

Program Plan Intro

To verify the result of the program is correct.

Explanation of Solution

Given information: formula to calculate the slope: - $(y2−y1)/(x2−x1)$

Slope of the line is 1

Explanation:

Now, calculating the slope of the line by manual calculating to verify the result of the above program.

$slope=( y 2− y 1) /( x 2− x 1)=5/5=1$

Since, the slope of the line is 1.

Hence, verified

(c)

Expert Solution

Program Plan Intro

To modify the program of exercise by changing the value of coordinates point values.

Explanation of Solution

Given information:formula to calculate the slope: - $(y2−y1)/(x2−x1)$

a1 = 2, a2 = 12 and b1 = 10, b2 = 6

Program:

//header file
#include <iostream>
//using the namespace
usingnamespacestd;
intmain()
{
//declaring the variables
floatline_slope, a1 =2, a2 =12, b1 =10, b2 =6;
//calculating the slope of the line connecting two points
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope of the line_slope
cout<<"Slope of a line is: "<<line_slope<<endl;
//return statement
return0;
}

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 2

Explanation:

The slope of a line is calculated by same formula as used in the exercise 1.a $(y2−y1)/(x2−x1)$

In the above program only the value of the coordinates point has changed.

(d)

Expert Solution

Program Plan Intro

To determine the situation while using the points (2, 3) and (2, 4) and the denominator part becomes zero.

Explanation of Solution

Given information:New coordinates point values: - (2, 3) and (2, 4)

Explanation:

While calculating the slope of a line where the coordinates point values are (2, 3) and (2, 4)thanthe values of x1, and x2 are 2 same and the values of y1, and y2 are 3 and 4,here the denominator value is zero as the expression (x2-x1) is equal to zero.

In this case, the value of the slope will be infinite. This situation can be handled by using a conditional statement given below: -

//header file
#include <iostream>
//using the namespace
usingnamespacestd;
intmain()
{
//declaring the variables
floatline_slope, a1 =2, a2 =2, b1 =3, b2 =4;
//calculating the slope of the line connecting two points
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope of the line_slope
cout<<"Slope of a line is: "<<line_slope<<endl;
//to check when the denominator is equal to zero
if((a2 - a1 ==0))
{
	//message
	cout<<"The slope of the line is infinite."<<endl;
}
//return statement
return0;
}

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 3

(e)

Expert Solution

Program Plan Intro

To make changes in the above program so that the output is produced in the given format: xxx.xx

cout<<"|"<<setw(5)<<setiosflags(ios::fixed)<<setprecision(2)<<5.267<<"|";

Explanation of Solution

Given information:The format of the output is xxx.xx

Program:

#include <iostream>
#include <iomanip>
//using the namespace
//for using the standard I/O 
usingnamespacestd;
intmain()
{
//declaring the variables
	//as per the requirement
floatline_slope, a1 =12, a2 =7, b1 =8, b2 =3;
//calculating the slope
	//by usinf the given formula
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope and settingthe format of output as xx.xxx
//the width is set to 6 and the number of digits after decimal is //set //to 2
cout<<"The value of the slope is "<<setw(6)<<setiosflags(ios::fixed )<<setprecision(2)<<line_slope<<endl;
//return statement
return0;
}

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 4

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Answer 2

Textbook Question

Chapter 3, Problem 1PP

(General math) a. Write a C++ program to calculate and display the value of the slope of the line connecting two points with the coordinates (3,7) and (8,12). Use the fact that the slope between two points with the coordinates $( x 1 , y 1 ) a n d ( x 2 , y 2 ) i s ( y 2 − y 1 ) / ( x 2 − x 1 ) .$

b. How do you know the result your program produced is correct?

c. After verifying the output your program produces, modify it to determine the slope of the line connecting the points (2,10) and (12,6).

d. What do you think will happen if you use the points (2,3) and (2,4), which results in a division by zero? How do you think this situation can be handled?

e. If your program doesn’t already do so, change its output to this:

The value of the slope is xxx.xx

The xxx.xx denotes placing the calculated value in a field wide enough for three places to the left of the decimal point and two places to the right of it.

(a)

Expert Solution

Program Plan Intro

Program plan: -

Variables

used in the following program are given below: -

line_slope: -To store the slope of the line
a1, a2: - To store the coordinates point values of x1 and x2.
b1, b2: - To store the coordinate point values of y1 and y2.

Formula used: - (b2 − b1)/(a2 − a1)

Program description: -The purpose of the C++ program is to determine the slope of the line connecting two points with the coordinates (3, 7) and (8, 12).

Program Description Answer

1

Explanation of Solution

Given information:

The slope between two points with the coordinates $(x1,y1)$ and $(x2,y2)$ is $(y2−y1)/(x2−x1)$

Program:

//header file
#include <iostream>
//using the namespace
usingnamespacestd;
intmain()
{
//declaring the variables
floatline_slope, a1 =3, a2 =8, b1 =7, b2 =12;
//calculating the slope of the line connecting two points
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope of the line_slope
cout<<"Slope of a line is: "<<line_slope<<endl;
//return statement
return0;
}

Explanation:

The above code is used to calculate the slope of a line connecting the two points.

Firstly, declaring the variables of float data type. The variable line_slope will store the slope of the line, a1, a2 and b1, b2 is used to store the coordinates point values of x1, x2 and y1, y2.

The slope of a line is calculated by the given formula $(y2−y1)/(x2−x1)$ .

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 1

(b)

Expert Solution

Program Plan Intro

To verify the result of the program is correct.

Explanation of Solution

Given information: formula to calculate the slope: - $(y2−y1)/(x2−x1)$

Slope of the line is 1

Explanation:

Now, calculating the slope of the line by manual calculating to verify the result of the above program.

$slope=( y 2− y 1) /( x 2− x 1)=5/5=1$

Since, the slope of the line is 1.

Hence, verified

(c)

Expert Solution

Program Plan Intro

To modify the program of exercise by changing the value of coordinates point values.

Explanation of Solution

Given information:formula to calculate the slope: - $(y2−y1)/(x2−x1)$

a1 = 2, a2 = 12 and b1 = 10, b2 = 6

Program:

//header file
#include <iostream>
//using the namespace
usingnamespacestd;
intmain()
{
//declaring the variables
floatline_slope, a1 =2, a2 =12, b1 =10, b2 =6;
//calculating the slope of the line connecting two points
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope of the line_slope
cout<<"Slope of a line is: "<<line_slope<<endl;
//return statement
return0;
}

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 2

Explanation:

The slope of a line is calculated by same formula as used in the exercise 1.a $(y2−y1)/(x2−x1)$

In the above program only the value of the coordinates point has changed.

(d)

Expert Solution

Program Plan Intro

To determine the situation while using the points (2, 3) and (2, 4) and the denominator part becomes zero.

Explanation of Solution

Given information:New coordinates point values: - (2, 3) and (2, 4)

Explanation:

While calculating the slope of a line where the coordinates point values are (2, 3) and (2, 4)thanthe values of x1, and x2 are 2 same and the values of y1, and y2 are 3 and 4,here the denominator value is zero as the expression (x2-x1) is equal to zero.

In this case, the value of the slope will be infinite. This situation can be handled by using a conditional statement given below: -

//header file
#include <iostream>
//using the namespace
usingnamespacestd;
intmain()
{
//declaring the variables
floatline_slope, a1 =2, a2 =2, b1 =3, b2 =4;
//calculating the slope of the line connecting two points
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope of the line_slope
cout<<"Slope of a line is: "<<line_slope<<endl;
//to check when the denominator is equal to zero
if((a2 - a1 ==0))
{
	//message
	cout<<"The slope of the line is infinite."<<endl;
}
//return statement
return0;
}

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 3

(e)

Expert Solution

Program Plan Intro

To make changes in the above program so that the output is produced in the given format: xxx.xx

cout<<"|"<<setw(5)<<setiosflags(ios::fixed)<<setprecision(2)<<5.267<<"|";

Explanation of Solution

Given information:The format of the output is xxx.xx

Program:

#include <iostream>
#include <iomanip>
//using the namespace
//for using the standard I/O 
usingnamespacestd;
intmain()
{
//declaring the variables
	//as per the requirement
floatline_slope, a1 =12, a2 =7, b1 =8, b2 =3;
//calculating the slope
	//by usinf the given formula
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope and settingthe format of output as xx.xxx
//the width is set to 6 and the number of digits after decimal is //set //to 2
cout<<"The value of the slope is "<<setw(6)<<setiosflags(ios::fixed )<<setprecision(2)<<line_slope<<endl;
//return statement
return0;
}

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 4

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Answer 3

Textbook Question

Chapter 3, Problem 1PP

(General math) a. Write a C++ program to calculate and display the value of the slope of the line connecting two points with the coordinates (3,7) and (8,12). Use the fact that the slope between two points with the coordinates $( x 1 , y 1 ) a n d ( x 2 , y 2 ) i s ( y 2 − y 1 ) / ( x 2 − x 1 ) .$

b. How do you know the result your program produced is correct?

c. After verifying the output your program produces, modify it to determine the slope of the line connecting the points (2,10) and (12,6).

d. What do you think will happen if you use the points (2,3) and (2,4), which results in a division by zero? How do you think this situation can be handled?

e. If your program doesn’t already do so, change its output to this:

The value of the slope is xxx.xx

The xxx.xx denotes placing the calculated value in a field wide enough for three places to the left of the decimal point and two places to the right of it.

(a)

Expert Solution

Program Plan Intro

Program plan: -

Variables

used in the following program are given below: -

line_slope: -To store the slope of the line
a1, a2: - To store the coordinates point values of x1 and x2.
b1, b2: - To store the coordinate point values of y1 and y2.

Formula used: - (b2 − b1)/(a2 − a1)

Program description: -The purpose of the C++ program is to determine the slope of the line connecting two points with the coordinates (3, 7) and (8, 12).

Program Description Answer

1

Explanation of Solution

Given information:

The slope between two points with the coordinates $(x1,y1)$ and $(x2,y2)$ is $(y2−y1)/(x2−x1)$

Program:

//header file
#include <iostream>
//using the namespace
usingnamespacestd;
intmain()
{
//declaring the variables
floatline_slope, a1 =3, a2 =8, b1 =7, b2 =12;
//calculating the slope of the line connecting two points
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope of the line_slope
cout<<"Slope of a line is: "<<line_slope<<endl;
//return statement
return0;
}

Explanation:

The above code is used to calculate the slope of a line connecting the two points.

Firstly, declaring the variables of float data type. The variable line_slope will store the slope of the line, a1, a2 and b1, b2 is used to store the coordinates point values of x1, x2 and y1, y2.

The slope of a line is calculated by the given formula $(y2−y1)/(x2−x1)$ .

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 1

(b)

Expert Solution

Program Plan Intro

To verify the result of the program is correct.

Explanation of Solution

Given information: formula to calculate the slope: - $(y2−y1)/(x2−x1)$

Slope of the line is 1

Explanation:

Now, calculating the slope of the line by manual calculating to verify the result of the above program.

$slope=( y 2− y 1) /( x 2− x 1)=5/5=1$

Since, the slope of the line is 1.

Hence, verified

(c)

Expert Solution

Program Plan Intro

To modify the program of exercise by changing the value of coordinates point values.

Explanation of Solution

Given information:formula to calculate the slope: - $(y2−y1)/(x2−x1)$

a1 = 2, a2 = 12 and b1 = 10, b2 = 6

Program:

//header file
#include <iostream>
//using the namespace
usingnamespacestd;
intmain()
{
//declaring the variables
floatline_slope, a1 =2, a2 =12, b1 =10, b2 =6;
//calculating the slope of the line connecting two points
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope of the line_slope
cout<<"Slope of a line is: "<<line_slope<<endl;
//return statement
return0;
}

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 2

Explanation:

The slope of a line is calculated by same formula as used in the exercise 1.a $(y2−y1)/(x2−x1)$

In the above program only the value of the coordinates point has changed.

(d)

Expert Solution

Program Plan Intro

To determine the situation while using the points (2, 3) and (2, 4) and the denominator part becomes zero.

Explanation of Solution

Given information:New coordinates point values: - (2, 3) and (2, 4)

Explanation:

While calculating the slope of a line where the coordinates point values are (2, 3) and (2, 4)thanthe values of x1, and x2 are 2 same and the values of y1, and y2 are 3 and 4,here the denominator value is zero as the expression (x2-x1) is equal to zero.

In this case, the value of the slope will be infinite. This situation can be handled by using a conditional statement given below: -

//header file
#include <iostream>
//using the namespace
usingnamespacestd;
intmain()
{
//declaring the variables
floatline_slope, a1 =2, a2 =2, b1 =3, b2 =4;
//calculating the slope of the line connecting two points
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope of the line_slope
cout<<"Slope of a line is: "<<line_slope<<endl;
//to check when the denominator is equal to zero
if((a2 - a1 ==0))
{
	//message
	cout<<"The slope of the line is infinite."<<endl;
}
//return statement
return0;
}

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 3

(e)

Expert Solution

Program Plan Intro

To make changes in the above program so that the output is produced in the given format: xxx.xx

cout<<"|"<<setw(5)<<setiosflags(ios::fixed)<<setprecision(2)<<5.267<<"|";

Explanation of Solution

Given information:The format of the output is xxx.xx

Program:

#include <iostream>
#include <iomanip>
//using the namespace
//for using the standard I/O 
usingnamespacestd;
intmain()
{
//declaring the variables
	//as per the requirement
floatline_slope, a1 =12, a2 =7, b1 =8, b2 =3;
//calculating the slope
	//by usinf the given formula
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope and settingthe format of output as xx.xxx
//the width is set to 6 and the number of digits after decimal is //set //to 2
cout<<"The value of the slope is "<<setw(6)<<setiosflags(ios::fixed )<<setprecision(2)<<line_slope<<endl;
//return statement
return0;
}

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 4

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Answer 4

Textbook Question

Chapter 3, Problem 1PP

(General math) a. Write a C++ program to calculate and display the value of the slope of the line connecting two points with the coordinates (3,7) and (8,12). Use the fact that the slope between two points with the coordinates $( x 1 , y 1 ) a n d ( x 2 , y 2 ) i s ( y 2 − y 1 ) / ( x 2 − x 1 ) .$

b. How do you know the result your program produced is correct?

c. After verifying the output your program produces, modify it to determine the slope of the line connecting the points (2,10) and (12,6).

d. What do you think will happen if you use the points (2,3) and (2,4), which results in a division by zero? How do you think this situation can be handled?

e. If your program doesn’t already do so, change its output to this:

The value of the slope is xxx.xx

The xxx.xx denotes placing the calculated value in a field wide enough for three places to the left of the decimal point and two places to the right of it.

(a)

Expert Solution

Program Plan Intro

Program plan: -

Variables

used in the following program are given below: -

line_slope: -To store the slope of the line
a1, a2: - To store the coordinates point values of x1 and x2.
b1, b2: - To store the coordinate point values of y1 and y2.

Formula used: - (b2 − b1)/(a2 − a1)

Program description: -The purpose of the C++ program is to determine the slope of the line connecting two points with the coordinates (3, 7) and (8, 12).

Program Description Answer

1

Explanation of Solution

Given information:

The slope between two points with the coordinates $(x1,y1)$ and $(x2,y2)$ is $(y2−y1)/(x2−x1)$

Program:

//header file
#include <iostream>
//using the namespace
usingnamespacestd;
intmain()
{
//declaring the variables
floatline_slope, a1 =3, a2 =8, b1 =7, b2 =12;
//calculating the slope of the line connecting two points
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope of the line_slope
cout<<"Slope of a line is: "<<line_slope<<endl;
//return statement
return0;
}

Explanation:

The above code is used to calculate the slope of a line connecting the two points.

Firstly, declaring the variables of float data type. The variable line_slope will store the slope of the line, a1, a2 and b1, b2 is used to store the coordinates point values of x1, x2 and y1, y2.

The slope of a line is calculated by the given formula $(y2−y1)/(x2−x1)$ .

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 1

(b)

Expert Solution

Program Plan Intro

To verify the result of the program is correct.

Explanation of Solution

Given information: formula to calculate the slope: - $(y2−y1)/(x2−x1)$

Slope of the line is 1

Explanation:

Now, calculating the slope of the line by manual calculating to verify the result of the above program.

$slope=( y 2− y 1) /( x 2− x 1)=5/5=1$

Since, the slope of the line is 1.

Hence, verified

(c)

Expert Solution

Program Plan Intro

To modify the program of exercise by changing the value of coordinates point values.

Explanation of Solution

Given information:formula to calculate the slope: - $(y2−y1)/(x2−x1)$

a1 = 2, a2 = 12 and b1 = 10, b2 = 6

Program:

//header file
#include <iostream>
//using the namespace
usingnamespacestd;
intmain()
{
//declaring the variables
floatline_slope, a1 =2, a2 =12, b1 =10, b2 =6;
//calculating the slope of the line connecting two points
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope of the line_slope
cout<<"Slope of a line is: "<<line_slope<<endl;
//return statement
return0;
}

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 2

Explanation:

The slope of a line is calculated by same formula as used in the exercise 1.a $(y2−y1)/(x2−x1)$

In the above program only the value of the coordinates point has changed.

(d)

Expert Solution

Program Plan Intro

To determine the situation while using the points (2, 3) and (2, 4) and the denominator part becomes zero.

Explanation of Solution

Given information:New coordinates point values: - (2, 3) and (2, 4)

Explanation:

While calculating the slope of a line where the coordinates point values are (2, 3) and (2, 4)thanthe values of x1, and x2 are 2 same and the values of y1, and y2 are 3 and 4,here the denominator value is zero as the expression (x2-x1) is equal to zero.

In this case, the value of the slope will be infinite. This situation can be handled by using a conditional statement given below: -

//header file
#include <iostream>
//using the namespace
usingnamespacestd;
intmain()
{
//declaring the variables
floatline_slope, a1 =2, a2 =2, b1 =3, b2 =4;
//calculating the slope of the line connecting two points
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope of the line_slope
cout<<"Slope of a line is: "<<line_slope<<endl;
//to check when the denominator is equal to zero
if((a2 - a1 ==0))
{
	//message
	cout<<"The slope of the line is infinite."<<endl;
}
//return statement
return0;
}

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 3

(e)

Expert Solution

Program Plan Intro

To make changes in the above program so that the output is produced in the given format: xxx.xx

cout<<"|"<<setw(5)<<setiosflags(ios::fixed)<<setprecision(2)<<5.267<<"|";

Explanation of Solution

Given information:The format of the output is xxx.xx

Program:

#include <iostream>
#include <iomanip>
//using the namespace
//for using the standard I/O 
usingnamespacestd;
intmain()
{
//declaring the variables
	//as per the requirement
floatline_slope, a1 =12, a2 =7, b1 =8, b2 =3;
//calculating the slope
	//by usinf the given formula
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope and settingthe format of output as xx.xxx
//the width is set to 6 and the number of digits after decimal is //set //to 2
cout<<"The value of the slope is "<<setw(6)<<setiosflags(ios::fixed )<<setprecision(2)<<line_slope<<endl;
//return statement
return0;
}

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 4

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

(a)

Expert Solution

Program Plan Intro

Program plan: -

Variables

used in the following program are given below: -

line_slope: -To store the slope of the line
a1, a2: - To store the coordinates point values of x1 and x2.
b1, b2: - To store the coordinate point values of y1 and y2.

Formula used: - (b2 − b1)/(a2 − a1)

Program description: -The purpose of the C++ program is to determine the slope of the line connecting two points with the coordinates (3, 7) and (8, 12).

Program Description Answer

1

Explanation of Solution

Given information:

The slope between two points with the coordinates $(x1,y1)$ and $(x2,y2)$ is $(y2−y1)/(x2−x1)$

Program:

//header file
#include <iostream>
//using the namespace
usingnamespacestd;
intmain()
{
//declaring the variables
floatline_slope, a1 =3, a2 =8, b1 =7, b2 =12;
//calculating the slope of the line connecting two points
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope of the line_slope
cout<<"Slope of a line is: "<<line_slope<<endl;
//return statement
return0;
}

Explanation:

The above code is used to calculate the slope of a line connecting the two points.

Firstly, declaring the variables of float data type. The variable line_slope will store the slope of the line, a1, a2 and b1, b2 is used to store the coordinates point values of x1, x2 and y1, y2.

The slope of a line is calculated by the given formula $(y2−y1)/(x2−x1)$ .

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 1

(b)

Expert Solution

Program Plan Intro

To verify the result of the program is correct.

Explanation of Solution

Given information: formula to calculate the slope: - $(y2−y1)/(x2−x1)$

Slope of the line is 1

Explanation:

Now, calculating the slope of the line by manual calculating to verify the result of the above program.

$slope=( y 2− y 1) /( x 2− x 1)=5/5=1$

Since, the slope of the line is 1.

Hence, verified

(c)

Expert Solution

Program Plan Intro

To modify the program of exercise by changing the value of coordinates point values.

Explanation of Solution

Given information:formula to calculate the slope: - $(y2−y1)/(x2−x1)$

a1 = 2, a2 = 12 and b1 = 10, b2 = 6

Program:

//header file
#include <iostream>
//using the namespace
usingnamespacestd;
intmain()
{
//declaring the variables
floatline_slope, a1 =2, a2 =12, b1 =10, b2 =6;
//calculating the slope of the line connecting two points
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope of the line_slope
cout<<"Slope of a line is: "<<line_slope<<endl;
//return statement
return0;
}

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 2

Explanation:

The slope of a line is calculated by same formula as used in the exercise 1.a $(y2−y1)/(x2−x1)$

In the above program only the value of the coordinates point has changed.

(d)

Expert Solution

Program Plan Intro

To determine the situation while using the points (2, 3) and (2, 4) and the denominator part becomes zero.

Explanation of Solution

Given information:New coordinates point values: - (2, 3) and (2, 4)

Explanation:

While calculating the slope of a line where the coordinates point values are (2, 3) and (2, 4)thanthe values of x1, and x2 are 2 same and the values of y1, and y2 are 3 and 4,here the denominator value is zero as the expression (x2-x1) is equal to zero.

In this case, the value of the slope will be infinite. This situation can be handled by using a conditional statement given below: -

//header file
#include <iostream>
//using the namespace
usingnamespacestd;
intmain()
{
//declaring the variables
floatline_slope, a1 =2, a2 =2, b1 =3, b2 =4;
//calculating the slope of the line connecting two points
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope of the line_slope
cout<<"Slope of a line is: "<<line_slope<<endl;
//to check when the denominator is equal to zero
if((a2 - a1 ==0))
{
	//message
	cout<<"The slope of the line is infinite."<<endl;
}
//return statement
return0;
}

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 3

(e)

Expert Solution

Program Plan Intro

To make changes in the above program so that the output is produced in the given format: xxx.xx

cout<<"|"<<setw(5)<<setiosflags(ios::fixed)<<setprecision(2)<<5.267<<"|";

Explanation of Solution

Given information:The format of the output is xxx.xx

Program:

#include <iostream>
#include <iomanip>
//using the namespace
//for using the standard I/O 
usingnamespacestd;
intmain()
{
//declaring the variables
	//as per the requirement
floatline_slope, a1 =12, a2 =7, b1 =8, b2 =3;
//calculating the slope
	//by usinf the given formula
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope and settingthe format of output as xx.xxx
//the width is set to 6 and the number of digits after decimal is //set //to 2
cout<<"The value of the slope is "<<setw(6)<<setiosflags(ios::fixed )<<setprecision(2)<<line_slope<<endl;
//return statement
return0;
}

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 4

Answer 8

(a)

Expert Solution

Program Plan Intro

Program plan: -

Variables

used in the following program are given below: -

line_slope: -To store the slope of the line
a1, a2: - To store the coordinates point values of x1 and x2.
b1, b2: - To store the coordinate point values of y1 and y2.

Formula used: - (b2 − b1)/(a2 − a1)

Program description: -The purpose of the C++ program is to determine the slope of the line connecting two points with the coordinates (3, 7) and (8, 12).

Program Description Answer

1

Explanation of Solution

Given information:

The slope between two points with the coordinates $(x1,y1)$ and $(x2,y2)$ is $(y2−y1)/(x2−x1)$

Program:

//header file
#include <iostream>
//using the namespace
usingnamespacestd;
intmain()
{
//declaring the variables
floatline_slope, a1 =3, a2 =8, b1 =7, b2 =12;
//calculating the slope of the line connecting two points
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope of the line_slope
cout<<"Slope of a line is: "<<line_slope<<endl;
//return statement
return0;
}

Explanation:

The above code is used to calculate the slope of a line connecting the two points.

Firstly, declaring the variables of float data type. The variable line_slope will store the slope of the line, a1, a2 and b1, b2 is used to store the coordinates point values of x1, x2 and y1, y2.

The slope of a line is calculated by the given formula $(y2−y1)/(x2−x1)$ .

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 1

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

Program Plan Intro

Program plan: -

Variables

used in the following program are given below: -

line_slope: -To store the slope of the line
a1, a2: - To store the coordinates point values of x1 and x2.
b1, b2: - To store the coordinate point values of y1 and y2.

Formula used: - (b2 − b1)/(a2 − a1)

Program description: -The purpose of the C++ program is to determine the slope of the line connecting two points with the coordinates (3, 7) and (8, 12).

Answer 13

Program Description Answer

1

Answer 14

Explanation of Solution

Given information:

The slope between two points with the coordinates $(x1,y1)$ and $(x2,y2)$ is $(y2−y1)/(x2−x1)$

Program:

//header file
#include <iostream>
//using the namespace
usingnamespacestd;
intmain()
{
//declaring the variables
floatline_slope, a1 =3, a2 =8, b1 =7, b2 =12;
//calculating the slope of the line connecting two points
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope of the line_slope
cout<<"Slope of a line is: "<<line_slope<<endl;
//return statement
return0;
}

Explanation:

The above code is used to calculate the slope of a line connecting the two points.

Firstly, declaring the variables of float data type. The variable line_slope will store the slope of the line, a1, a2 and b1, b2 is used to store the coordinates point values of x1, x2 and y1, y2.

The slope of a line is calculated by the given formula $(y2−y1)/(x2−x1)$ .

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 1

Answer 15

(b)

Expert Solution

Program Plan Intro

To verify the result of the program is correct.

Explanation of Solution

Given information: formula to calculate the slope: - $(y2−y1)/(x2−x1)$

Slope of the line is 1

Explanation:

Now, calculating the slope of the line by manual calculating to verify the result of the above program.

$slope=( y 2− y 1) /( x 2− x 1)=5/5=1$

Since, the slope of the line is 1.

Hence, verified

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

Program Plan Intro

To verify the result of the program is correct.

Answer 20

Explanation of Solution

Given information: formula to calculate the slope: - $(y2−y1)/(x2−x1)$

Slope of the line is 1

Explanation:

Now, calculating the slope of the line by manual calculating to verify the result of the above program.

$slope=( y 2− y 1) /( x 2− x 1)=5/5=1$

Since, the slope of the line is 1.

Hence, verified

Answer 21

(c)

Expert Solution

Program Plan Intro

To modify the program of exercise by changing the value of coordinates point values.

Explanation of Solution

Given information:formula to calculate the slope: - $(y2−y1)/(x2−x1)$

a1 = 2, a2 = 12 and b1 = 10, b2 = 6

Program:

//header file
#include <iostream>
//using the namespace
usingnamespacestd;
intmain()
{
//declaring the variables
floatline_slope, a1 =2, a2 =12, b1 =10, b2 =6;
//calculating the slope of the line connecting two points
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope of the line_slope
cout<<"Slope of a line is: "<<line_slope<<endl;
//return statement
return0;
}

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 2

Explanation:

The slope of a line is calculated by same formula as used in the exercise 1.a $(y2−y1)/(x2−x1)$

In the above program only the value of the coordinates point has changed.

Answer 22

(c)

Expert Solution

Answer 23

(c)

Expert Solution

Answer 24

Expert Solution

Answer 25

Program Plan Intro

To modify the program of exercise by changing the value of coordinates point values.

Answer 26

Explanation of Solution

Given information:formula to calculate the slope: - $(y2−y1)/(x2−x1)$

a1 = 2, a2 = 12 and b1 = 10, b2 = 6

Program:

//header file
#include <iostream>
//using the namespace
usingnamespacestd;
intmain()
{
//declaring the variables
floatline_slope, a1 =2, a2 =12, b1 =10, b2 =6;
//calculating the slope of the line connecting two points
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope of the line_slope
cout<<"Slope of a line is: "<<line_slope<<endl;
//return statement
return0;
}

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 2

Explanation:

The slope of a line is calculated by same formula as used in the exercise 1.a $(y2−y1)/(x2−x1)$

In the above program only the value of the coordinates point has changed.

Answer 27

(d)

Expert Solution

Program Plan Intro

To determine the situation while using the points (2, 3) and (2, 4) and the denominator part becomes zero.

Explanation of Solution

Given information:New coordinates point values: - (2, 3) and (2, 4)

Explanation:

While calculating the slope of a line where the coordinates point values are (2, 3) and (2, 4)thanthe values of x1, and x2 are 2 same and the values of y1, and y2 are 3 and 4,here the denominator value is zero as the expression (x2-x1) is equal to zero.

In this case, the value of the slope will be infinite. This situation can be handled by using a conditional statement given below: -

//header file
#include <iostream>
//using the namespace
usingnamespacestd;
intmain()
{
//declaring the variables
floatline_slope, a1 =2, a2 =2, b1 =3, b2 =4;
//calculating the slope of the line connecting two points
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope of the line_slope
cout<<"Slope of a line is: "<<line_slope<<endl;
//to check when the denominator is equal to zero
if((a2 - a1 ==0))
{
	//message
	cout<<"The slope of the line is infinite."<<endl;
}
//return statement
return0;
}

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 3

Answer 28

(d)

Expert Solution

Answer 29

(d)

Expert Solution

Answer 30

Expert Solution

Answer 31

Program Plan Intro

To determine the situation while using the points (2, 3) and (2, 4) and the denominator part becomes zero.

Answer 32

Explanation of Solution

Given information:New coordinates point values: - (2, 3) and (2, 4)

Explanation:

While calculating the slope of a line where the coordinates point values are (2, 3) and (2, 4)thanthe values of x1, and x2 are 2 same and the values of y1, and y2 are 3 and 4,here the denominator value is zero as the expression (x2-x1) is equal to zero.

In this case, the value of the slope will be infinite. This situation can be handled by using a conditional statement given below: -

//header file
#include <iostream>
//using the namespace
usingnamespacestd;
intmain()
{
//declaring the variables
floatline_slope, a1 =2, a2 =2, b1 =3, b2 =4;
//calculating the slope of the line connecting two points
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope of the line_slope
cout<<"Slope of a line is: "<<line_slope<<endl;
//to check when the denominator is equal to zero
if((a2 - a1 ==0))
{
	//message
	cout<<"The slope of the line is infinite."<<endl;
}
//return statement
return0;
}

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 3

Answer 33

(e)

Expert Solution

Program Plan Intro

To make changes in the above program so that the output is produced in the given format: xxx.xx

cout<<"|"<<setw(5)<<setiosflags(ios::fixed)<<setprecision(2)<<5.267<<"|";

Explanation of Solution

Given information:The format of the output is xxx.xx

Program:

#include <iostream>
#include <iomanip>
//using the namespace
//for using the standard I/O 
usingnamespacestd;
intmain()
{
//declaring the variables
	//as per the requirement
floatline_slope, a1 =12, a2 =7, b1 =8, b2 =3;
//calculating the slope
	//by usinf the given formula
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope and settingthe format of output as xx.xxx
//the width is set to 6 and the number of digits after decimal is //set //to 2
cout<<"The value of the slope is "<<setw(6)<<setiosflags(ios::fixed )<<setprecision(2)<<line_slope<<endl;
//return statement
return0;
}

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 4

Answer 34

(e)

Expert Solution

Answer 35

(e)

Expert Solution

Answer 36

Expert Solution

Answer 37

Program Plan Intro

To make changes in the above program so that the output is produced in the given format: xxx.xx

cout<<"|"<<setw(5)<<setiosflags(ios::fixed)<<setprecision(2)<<5.267<<"|";

Answer 38

Explanation of Solution

Given information:The format of the output is xxx.xx

Program:

#include <iostream>
#include <iomanip>
//using the namespace
//for using the standard I/O 
usingnamespacestd;
intmain()
{
//declaring the variables
	//as per the requirement
floatline_slope, a1 =12, a2 =7, b1 =8, b2 =3;
//calculating the slope
	//by usinf the given formula
line_slope=(b2 - b1)/(a2 - a1);
//displaying the slope and settingthe format of output as xx.xxx
//the width is set to 6 and the number of digits after decimal is //set //to 2
cout<<"The value of the slope is "<<setw(6)<<setiosflags(ios::fixed )<<setprecision(2)<<line_slope<<endl;
//return statement
return0;
}

Sample output: -

C++ for Engineers and Scientists, Chapter 3, Problem 1PP , additional homework tip 4

Answer 39

Ch. 3.1 - (General math) Write an assignment statement to...Ch. 3.1 - (General math) Write an assignment statement to...Ch. 3.1 - (Conversion) Write an assignment statement to...Ch. 3.1 - Prob. 4E Ch. 3.1 - (Physics) Write an assignment statement to...Ch. 3.1 - (Numerical) Write an assignment statement to...Ch. 3.1 - (Civil eng.) Write an assignment statement to...Ch. 3.1 - (Physics) Coulomb’s Law states that the force, F,...Ch. 3.1 - (Civil eng.) Write an assignment statement to...Ch. 3.1 - (Desk check) Determine the output of the following...

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