From the diagram we have a line with the following endpoints;
[tex]\begin{gathered} A=(-3,2) \\ B=(-1,6) \end{gathered}[/tex]
The rule for reflecting across the line
[tex]y=x[/tex]
is such that the x-coordinates and the y-coordinates switch places.
This means, for the points identified above, after reflecting across the line y = x, the coordinates of the endpoints would now be such that x, moves to the place of y, and vice versa.
We now have;
[tex]\begin{gathered} A=(-3,2)\Rightarrow A^{\prime}=(2,-3) \\ B=(-1,6)\Rightarrow B^{\prime}=(6,-1) \end{gathered}[/tex]
ANSWER:
[tex](6,-1)\text{ and }(2,-3)[/tex]
The second option is the correct answer
