Question

what is the image of the point (-8, 3) after a rotation of 270° counterclockwise about the origin? answer attempt 1 out of 2

Explanation:

Step1: Recall rotation rule

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

Step2: Apply the rule

Given the point $(-8,3)$, substitute $x=-8$ and $y = 3$ into the rule. We get $(3,-(-8))$.

Step3: Simplify the result

$3,-(-8)$ simplifies to $(3,8)$.

Answer:

$(3,8)$