ANSWER
[tex]\begin{gathered} A^{\prime}(-5,6) \\ B^{\prime}(4,7) \\ C^{\prime}(-5,-1) \end{gathered}[/tex]
EXPLANATION
When a point is reflected over the line y = x, the x and y coordinates change places.
That is the point changes as follows:
[tex]X(x,y)\Rightarrow X^{\prime}(y,x)[/tex]
Therefore, the coordinates of the points after the reflection is:
[tex]\begin{gathered} A(6,-5)\Rightarrow A^{\prime}(-5,6) \\ B(7,4)\Rightarrow B^{\prime}(4,7) \\ C(-1,-5)\Rightarrow C^{\prime}(-5,-1) \end{gathered}[/tex]
