Given:
The point is (-5,7).
To find:
The image of the given point after 90 degrees counter clockwise rotation.
Solution:
If a point rotated 90 degrees counter clockwise, then
[tex](x,y)\to (-y,x)[/tex]
Let the given point is P(-5,7). Using the above rule, we get
[tex]P(-5,7)\to P'(-7,-5)[/tex]
Therefore, the image of the given point after 90 degrees counter clockwise rotation is (-7,-5).