Write the coordinates of the point (5, -2) following a reflection in the line y=x

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 coordinates of the point after the reflection across the line y = x is given by the transformation rule,

Thus, using the above transformation, let us reflect the point (5,-2) across the line y = x.

Hence, we have,

Therefore, the coordinates of the point after reflection across the line y = x is (-2,5)