Answer:
The point (5,-3) reflection image across the line [tex]y=-x[/tex] is (3,-5).
Step-by-step explanation:
Given : Point (5,-3)
To find : The reflection image of given point across the line [tex]y=-x[/tex]?
Solution :
The reflection across the line [tex]y=-x[/tex] 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 [tex]y=-x[/tex] is (3,-5).
Refer the attached figure below to see the reflection.
Therefore, (5,-3)→(3,-5)
