Question

A pair of linear equations is shown below:

y = −3x + 5
y = x + 2

Which of the following statements best explains the steps to solve the pair of equations graphically?

A.On a graph, find the point of intersection of two lines, the first line has y0intercept = 5 and slope = −3, and the second line has y0intercept = 2 and slope = 1.

B. On a graph, find the point of intersection of two lines, the first line has y0intercept = −3 and slope = 5, and the second line has y0intercept = 1 and slope = 2.

C. On a graph, find the point of intersection of two lines, the first line has y0intercept = −5 and slope = 3, and the second line has y0intercept = −2 and slope = −1.

D. On a graph, find the point of intersection of two lines, the first line has y0intercept = 3 and slope = −5, and the second line has y0intercept = −1 and slope = −2.

Answer 1

Simple, it's A.

y=-3x+5
and
y=x+2

The slope for the first line is m=-3 and y-intercept y=5

The slope for the second line is m=1 and y-intercept y=2

The only logical answer is A. Thus, your answer.

Answer 2

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=mx+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

*The point of intersection is attached below.