Question

what is the image of the point (-9,3) after a rotation of 180° counterclockwise about the origin?

Explanation:

Step1: Recall rotation rule

The rule for a 180 - degree counter - clockwise rotation about the origin is $(x,y)\to(-x,-y)$.

Step2: Apply the rule

Given the point $(-9,3)$, substitute $x=-9$ and $y = 3$ into the rule. We get $(-(-9),-3)$.

Step3: Simplify

$-(-9)=9$, so the image is $(9,-3)$.

Answer:

$(9,-3)$