Question

Given the equation of the line y=−x−2, What is the equation of the image after a 270° rotation about the origin. Is there a relationship (parallel, perpendicular, the same) between the equations of the image and preimage. The equation of the image is ___. They are ___ lines.

Answer 1

The equation is y = x + 2 and they are perpendicular lines.

A rotation of 270 degrees means that you turn 3/4 of the way around a circle. That would put the y-intercept at (0, 2) and the line would be going up instead of down.