Question

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

The best explanation for the steps to solve the pair of equations graphically is:

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.

To solve the pair of equations graphically, you need to plot the two lines on the same coordinate plane and find the point where they intersect. To do this, you can use the slope-intercept form of the equations, which gives the y-intercept and the slope of each line. The y-intercept is the value of y when x equals 0, and the slope represents how steep the line is. Once you have graphed the two lines, the point where they intersect is the solution to the system of equations. In this case, the intersection point can be found by solving the system of equations, which is (x, y) = (2, -1).