Question

The image of a point after a reflection over the line y = –x is (7, –1). Find the coordinates of the preimage.

Answer 1

Thank you for asking this question. This question isnt that hard as much it looks to be.
So basically first you need to know what happens when a point is reflected over y=x. If the point is (a,b) it becomes (b,a). Similarly if it reflects over y= -x then the point (a,b) becomes (-b,-a).
So the image of (7,-1) is (-7,1).
I hope this answer can help you in some manner.