Question

what is the image of the point $(-5, -9)$ after a rotation of $90^{\circ}$ counterclockwise about the origin?
answer attempt 1 out of 2

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 $x=-5, y=-9$

Substitute into the rule: $(-(-9), -5)$

Step3: Simplify the coordinates

Calculate $-(-9)=9$, so the new point is $(9, -5)$.

Answer:

$(9, -5)$