Question

A line segment has endpoints at (–1, 4) and (4, 1). Which reflection will produce an image with endpoints at (–4, 1) and (–1, –4)?

Answer 1

reflection over line y = -x

Answer 2

Let us mark the points to have a better idea

see the figure attached

We can see that the line is reflected across the line y=-x

Hence the answer is y=-x