We are asked to find the image of (2,6), after a reflection in the line y=x
A reflection over the line y = x means to reverse the order of the (x, y) coordinates.
The rule for such a transformation is given by
[tex](x,y)\rightarrow(y,x)[/tex]Let us apply the above transformation to the given point
[tex](2,6)\rightarrow(6,2)[/tex]As you can see, we simply reverse the order of the coordinates.
Therefore, the image of the point (2, 6) after a reflection over the line y = x is (6, 2)
[tex](6,2)[/tex]