Answer:
[tex]P: (-2,4)[/tex]
[tex]P' : (-4,-2)[/tex]
Step-by-step explanation:
Given
[tex]P: (-2,4)[/tex]
Required
Rotate 90 degrees counterclockwise
Show both points on graph
[tex]P: (-2,4)[/tex]
When a point is rotated counterclockwise by 90 degrees, the new point is:
[tex]P':(-y,x)[/tex]
In
[tex]P: (-2,4)[/tex]
[tex]x = -2[/tex]
[tex]y = 4[/tex]
Hence:
[tex]P':(-y,x)[/tex]
[tex]P' : (-4,-2)[/tex]
See attachment for graph