Question

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

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

Step2: Apply the rule to the point

Given the point $(-9,-8)$, where $x = - 9$ and $y=-8$. After applying the rule, we get $-y=-(-8) = 8$ and $x=-9$. So the new point is $(8,-9)$.

Answer:

$(8,-9)$