Question

Willa graphed a system of equations on the same coordinate grid. The equations had the same slope, but the y-intercepts were different. Which must be true?

Answer 1

In a system of equations with the same slope but different y-intercepts, the lines representing the equations are parallel.

Step-by-step explanation:

In a system of equations with the same slope but different y-intercepts, the lines representing the equations are parallel. This is because the slope determines the steepness of the line, while the y-intercept determines where the line intersects the y-axis.

For example, if the equations are y = 3x + 2 and y = 3x + 5, the lines will have the same steepness (slope of 3) but intersect the y-axis at different points (y-intercepts of 2 and 5).

Therefore, the statement that must be true is that the lines representing the equations are parallel.

Answer 2

The graphs are perpendicular

Step-by-step explanation:

Same slope different y-int = perpendicular