The coordinates of the point after reflection is (-2,5)
Explanation:
Given that the coordinates of the point is (5,-2)
We need to determine the coordinates of the point after the reflection across the line y = x
The transformation rule to reflect the figure across the line y = x is given by
[tex](x,y)\implies (y,x)[/tex]
Thus, using the above transformation, let us reflect the point (5,-2) across the line y = x.
Hence, we have,
[tex](5,-2)\implies (-2,5)[/tex]
Therefore, the coordinates of the point after reflection across the line y = x is (-2,5)
