Question

The coordinates of a point and its

image are given below. What is the line
of reflection?
(-1,-4) - (-4, -1)

Answer 1

y = x

Explanation:

Let A(-1,-4) and B(-4,-1).

The slope of AB is -1, and the midpoint of AB is (-2.5, -2.5).

The perpendicular bisector of AB thus has a slope of 1 and passes through (-2.5, -2.5).

The perpendicular bisector is the line of reflection, which has equation y = x.