(a) Answer The slope of the line y = 2 x + 4 is 2 . Explanation Given the equation of the line: y = 2 x + 4 Concept Used: Slope-Intercept form of a line: Suppose that the equation of a line is given in the slope-intercept form: y = m x + c . Then, the m gives the slope of the line and c gives the y -intercept of the line. Calculation: Observe that the equation of the line, y = 2 x + 4 , is already in the slope-intercept form. Compare y = 2 x + 4 with the general slope-intercept form and conclude that 2 is the slope of the line. Conclusion: The slope of the line y = 2 x + 4 is 2 . (b) To determine To determine the y -intercept of the line y = 2 x + 4 . Answer The y -intercept of the line y = 2 x + 4 is 4 . Explanation Given the equation of the line: y = 2 x + 4 Concept Used: Slope-Intercept form of a line: Suppose that the equation of a line is given in the slope-intercept form: y = m x + c . Then, the m gives the slope of the line and c gives the y -intercept of the line. Calculation: Observe that the equation of the line, y = 2 x + 4 , is already in the slope-intercept form. Compare y = 2 x + 4 with the general slope-intercept form and conclude that 4 is the y -intercept of the line. Conclusion: The y -intercept of the line y = 2 x + 4 is 4 . (c) To determine To graph the line y = 2 x + 4 . Explanation Given the line: y = 2 x + 4 . Graph the line with the help of a graphing calculator:

Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020

6th Edition

ISBN: 9781418300203

Author: Prentice Hall

Publisher: Prentice Hall

See similar textbooks

Question

Chapter 0.1, Problem 28E

(a)

To determine

To determine the slope of the line y=2x+4 .

(a)

Expert Solution

Answer to Problem 28E

The slope of the line y=2x+4 is 2 .

Explanation of Solution

Given the equation of the line:

y=2x+4

Concept Used:

Slope-Intercept form of a line:

Suppose that the equation of a line is given in the slope-intercept form: y=mx+c .

Then, the m gives the slope of the line and c gives the y -intercept of the line.

Calculation:

Observe that the equation of the line, y=2x+4 , is already in the slope-intercept form.

Compare y=2x+4 with the general slope-intercept form and conclude that 2 is the slope of the line.

Conclusion:

The slope of the line y=2x+4 is 2 .

(b)

To determine

To determine the y -intercept of the line y=2x+4 .

(b)

Expert Solution

Answer to Problem 28E

The y -intercept of the line y=2x+4 is 4 .

Explanation of Solution

Given the equation of the line:

y=2x+4

Concept Used:

Slope-Intercept form of a line:

Suppose that the equation of a line is given in the slope-intercept form: y=mx+c .

Then, the m gives the slope of the line and c gives the y -intercept of the line.

Calculation:

Observe that the equation of the line, y=2x+4 , is already in the slope-intercept form.

Compare y=2x+4 with the general slope-intercept form and conclude that 4 is the y -intercept of the line.

Conclusion:

The y -intercept of the line y=2x+4 is 4 .

(c)

To determine

To graph the line y=2x+4 .

(c)

Expert Solution

Explanation of Solution

Given the line:

y=2x+4 .

Graph the line with the help of a graphing calculator:

Chapter 0.1, Problem 27E

Chapter 0.1, Problem 29E

Chapter 0 Solutions

Ch. 0.1 - Prob. 1QR Ch. 0.1 - Prob. 2QR Ch. 0.1 - Prob. 3QR Ch. 0.1 - Prob. 4QR Ch. 0.1 - Prob. 5QR Ch. 0.1 - Prob. 6QR Ch. 0.1 - Prob. 7QR Ch. 0.1 - Prob. 8QR Ch. 0.1 - Prob. 9QR Ch. 0.1 - Prob. 10QR

Ch. 0.1 - Prob. 1E Ch. 0.1 - Prob. 2E Ch. 0.1 - Prob. 3E Ch. 0.1 - Prob. 4E Ch. 0.1 - Prob. 5E Ch. 0.1 - Prob. 6E Ch. 0.1 - Prob. 7E Ch. 0.1 - Prob. 8E Ch. 0.1 - Prob. 9E Ch. 0.1 - Prob. 10E Ch. 0.1 - Prob. 11E Ch. 0.1 - Prob. 12E Ch. 0.1 - Prob. 13E Ch. 0.1 - Prob. 14E Ch. 0.1 - Prob. 15E Ch. 0.1 - Prob. 16E Ch. 0.1 - Prob. 17E Ch. 0.1 - Prob. 18E Ch. 0.1 - Prob. 19E Ch. 0.1 - Prob. 20E Ch. 0.1 - Prob. 21E Ch. 0.1 - Prob. 22E Ch. 0.1 - Prob. 23E Ch. 0.1 - Prob. 24E Ch. 0.1 - Prob. 25E Ch. 0.1 - Prob. 26E Ch. 0.1 - Prob. 27E Ch. 0.1 - Prob. 28E Ch. 0.1 - Prob. 29E Ch. 0.1 - Prob. 30E Ch. 0.1 - Prob. 31E Ch. 0.1 - Prob. 32E Ch. 0.1 - Prob. 33E Ch. 0.1 - Prob. 34E Ch. 0.1 - Prob. 35E Ch. 0.1 - Prob. 36E Ch. 0.1 - Prob. 37E Ch. 0.1 - Prob. 38E Ch. 0.1 - Prob. 39E Ch. 0.1 - Prob. 40E Ch. 0.1 - Prob. 41E Ch. 0.1 - Prob. 42E Ch. 0.1 - Prob. 43E Ch. 0.1 - Prob. 44E Ch. 0.1 - Prob. 45E Ch. 0.1 - Prob. 46E Ch. 0.1 - Prob. 47E Ch. 0.1 - Prob. 48E Ch. 0.1 - Prob. 49E Ch. 0.1 - Prob. 50E Ch. 0.1 - 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