Question

question: what is the image of the point (5, - 6) after a rotation of 90° counterclockwise about the origin? answer: attempt 1 out of 3 submit answer watch video show example

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

Given the point $(5, - 6)$, where $x = 5$ and $y=-6$. Substitute into the rule: $(-(-6),5)$.

Step3: Simplify

$-(-6)=6$, so the new point is $(6,5)$.

Answer:

$(6,5)$