Question

If the equation of the line y=-5x+7 is changed to y=5x+7, how does the graph change?

Answer 1

The line is mirrored over the y-axis (the vertical axis).

Demonstrated in the graph below!

Hope this helped. Happy new year :)

Answer 2

the graph is reflected vertically across the horizontal line y=7

Explanation:

The change of sign of the slope means the graph will go up 5 units for each unit of run, instead of down 5 units. Essentially, the graph of the changed function is the mirror image of the original across the horizontal line through the common point (the y-intercept).

This is shown in the attachment.