Question

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

Answer 1

Answer:

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

Step-by-step 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)

Answer 2

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