Question

question
what is the image of the point ((-5, -9)) after a rotation of (90^circ) counterclockwise about the origin?
answer
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Explanation:

Step1: Recall 90° CCW rotation rule

For a point $(x,y)$, rotation gives $( -y, x )$

Step2: Substitute $x=-5, y=-9$

$(-y, x) = ( -(-9), -5 )$

Step3: Simplify the coordinates

$(-(-9), -5) = (9, -5)$

Answer:

$(9, -5)$