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? (4 points) 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.

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Answer:

A) 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 =

Step-by-step explanation:

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The correct option is Option A i.e. On a graph, we have to find the unique point of intersection of these two lines, the first line has slope = −3 and y-intercept = 5, and the second line has slope = 1 and y-intercept = 2 .

What is the equation of line slope and intercept form?

The equation of the line will be y=mx+c

where m is the slope of line and c is the y-intercept of line.

So according to the question,

the  first linear equation is y=-3x+5

comparing with the slope and intercept form of the equation of the line y=mx+c

m=-3

c=5

the second linear equation is y=x+2

comparing with the slope and intercept form of the equation of the line y=mx+c

m=1

c=2

Then we have to find the unique intersection point of these two lines to solve these equations.

From the above comparison, it is clear that On a graph, we have to find the unique point of intersection of these two lines, the first line has slope = −3 and y-intercept = 5, and the second line has slope = 1 and y-intercept = 2 .

Learn more about the equation of line

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