Question

question
what is the image of the point (-7, -8) after a rotation of 270° counterclockwise about the origin?
answer attempt 1 out of 2
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Explanation:

Step1: Recall rotation rule

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

Step2: Apply the rule

Given the point $(-7,-8)$, where $x=-7$ and $y = - 8$. After rotation, the new $x$ - coordinate is $y=-8$ and the new $y$ - coordinate is $-x=-(-7)=7$.

Answer:

$(-8,7)$