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question 8 what is the image of the point (6, - 9) after a rotation of …

Question

question 8 what is the image of the point (6, - 9) after a rotation of 270° counterclockwise about the origin?

Explanation:

Step1: Recall rotation rule

For a 270 - counter - clockwise rotation about the origin, the rule for a point $(x,y)$ is $(x,y)\to(y, - x)$.

Step2: Apply the rule

Given the point $(6,-9)$, substituting $x = 6$ and $y=-9$ into the rule, we get $(-9,-6)$.

Answer:

$(-9,-6)$