Q:

(20 points, please answer quickly!)A pair of linear equations is shown:y = −3x + 5y = x + 2Which of the following statements best explains the steps to solve the pair of equations graphically? On a graph, find the point of intersection of two lines; the first line has y-intercept = 5 and slope = −3, and the second line has y-intercept = 2 and slope = 1. On a graph, find the point of intersection of two lines; the first line has y-intercept = −3 and slope = 5, and the second line has y-intercept = 1 and slope = 2. On a graph, find the point of intersection of two lines; the first line has y-intercept = −5 and slope = 3, and the second line has y-intercept = −2 and slope = −1. On a graph, find the point of intersection of two lines; the first line has y-intercept = 3 and slope = −5, and the second line has y-intercept = −1 and slope = −2.

Accepted Solution

A:
Answer: A. the first line has y-intercept = 5 and slope = -3, and the second line has y-intercept = 2 and slope = 1.Explanation:The given pair of lines are as follows,y=-3x+5y=x+2The general slope-intercept form of straight line is,y= m x+cwhere,m = slope of the linec = y-interceptComparing this with the line equations,slope of 1st line = -3, y-intercept of 1st line = 5slope of 2nd line = 1, y-intercept of 2nd line = 2