Question

what is the image of the point (-9, -8) 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 $(-9,-8)$, where $x = - 9$ and $y=-8$. Substitute into the rule: $(-(-8),-9)$.

Step3: Simplify the coordinates

$-(-8)=8$, so the new point is $(8, - 9)$.

Answer:

$(8,-9)$