Question

What is the reflection image of (5, -3) across the line y = -x?

Answer 1

Over the y-axis (x, y) → (−x, y) so ( -5, -3)

Answer 2

The point (5,-3) reflection image across the line
`y=-x` is (3,-5).

Explanation:

Given : Point (5,-3)

To find : The reflection image of given point across the line
`y=-x`?

Solution :

The reflection across the line
`y=-x` is when both the coordinated changes its sign and position.

i.e, (x,y) across y=-x line became (-y,-x)

So, The point (5,3) reflection image across the line
`y=-x` is (3,-5).

Refer the attached figure below to see the reflection.

Therefore, (5,-3)→(3,-5)