Question

what is the image of the point (-5, -9) after a rotation of 90° counterclockwise about the origin? answer attempt 1 out of 2

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree counter - clockwise rotation about the origin is $(x,y)\to(-y,x)$.

Step2: Apply the rule

Given the point $(-5,-9)$, where $x = - 5$ and $y=-9$. Substitute into the rule: $-y=-(-9) = 9$ and $x=-5$.

Answer:

$(9,-5)$