Question

what is the image of the point $(-7, 9)$ after a rotation of $90^circ$ counterclockwise about the origin?

Explanation:

Step1: Recall 90° CCW rotation rule

For a point $(x,y)$, 90° counterclockwise rotation about the origin transforms it to $(-y,x)$.

Step2: Substitute $x=-7,y=9$

$(-y,x) = (-(9), -7)$

Answer:

$(-9, -7)$