Question

The image of point A(-2, 5) is point A’(1, -2) after a reflection over line
k. The equation for line k is in the form y = mx + b. What is the value of m?

Answer 1

the axis of reflection is perpendicular to the line joining the two points.
So, use the usual way to find the slope of that line segment, and then take its negative reciprocal.

Two lines with slopes m1 and m2 are perpendicular if m1 * m2 = -1

Answer 2

Thank you sir !!