SOLUTION
We want to find the image of (-6, 5) after a reflection over the line y = x
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places.
So we have
[tex]\begin{gathered} y=x\rightarrow(y,x) \\ (-6,5)\rightarrow(5,-6) \end{gathered}[/tex]Hence the answer is (5, -6)