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
![(x,y)\to (-y,x)](https://img.qammunity.org/2022/formulas/mathematics/high-school/chrlkvzrmu59y7abucwtd80rtzxqa3b3di.png)
Let the given point is P(-5,7). Using the above rule, we get
![P(-5,7)\to P'(-7,-5)](https://img.qammunity.org/2022/formulas/mathematics/high-school/fa740tfeob3qqev8chwut3bnpy3t8zxyrf.png)
Therefore, the image of the given point after 90 degrees counter clockwise rotation is (-7,-5).