Question

(20 points, please answer quickly!)

A pair of linear equations is shown:

y = −3x + 5
y = x + 2

Which 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.

Answer 1

First one:

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.

Answer 2

Answer: A. the first line has y-intercept = 5 and slope = -3, and the second line has y-intercept = 2 and slope = 1.

Step-by-step explanation:

The given pair of lines are as follows,

y=-3x+5

y=x+2

The general slope-intercept form of straight line is,

y= m x+c

where,

m = slope of the line

c = y-intercept

Comparing this with the line equations,

slope of 1st line = -3, y-intercept of 1st line = 5

slope of 2nd line = 1, y-intercept of 2nd line = 2