Question

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


pls help asap

Answer 1

The coordinates of the point after reflection is (-2,5)

Explanation:

Given that the coordinates of the point is given by (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 = s can be determined using the transformation rule,

$(x,y)\implies (y,x)$

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

Hence, we have,

$(5,-2)\implies (-2,5)$

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