Chapter 3.4, Problem 5MRE

To determine

To write: A program based on the programs in exercises $1and3$ to find the slope-intercept equation of a line given two distinct points on the line allowing the possibility that line may be vertical.

Answer to Problem 5MRE

Program has been written in C language.

Explanation of Solution

Given information: Two distinct points which may result in a vertical line.

Calculation:

  $\begin{array}{l}\text{\#include <stdio}\text{.h>}\\ \text{int main(){}\\ \text{float x1,y1,x2,y2,m,b;}\\ \text{printf("Enter x1= ");}\\ \text{scanf("\%f", \&x1);}\\ \text{printf("Enter y1= ");}\\ \text{scanf("\%f", \&y1);}\\ \text{printf("Enter x2= ");}\\ \text{scanf("\%f", \&x2);}\\ \text{printf("Enter y2= ");}\\ \text{scanf("\%f", \&y2);}\\ \text{if (x2==x1)}\\ \text{printf("Line is vertical}\text{.");}\\ \text{else{}\\ \text{ m=(y2-y1)/(x2-x1);}\\ \text{ b=y1-(m*x1);}\\ \text{ printf("Slope is \%0}\text{.2f,n",m);}\\ \text{ printf("y-intercept is \%0}\text{.2f,n",b);}\\ \text{ if (b>=0)}\\ \text{ printf("Equation is y=\%0}\text{.2fx+\%0}\text{.2f}\text{.",m,b);}\\ \text{ else}\\ \text{ printf("Equation is y=\%0}\text{.2fx\%0}\text{.2f}\text{.",m,b);}\\ \text{}}\\ \text{return 0;}\\ \text{}}\end{array}$

Thus, program has been written in C language.