Question

The point (5, -2) is rotated 90° about the origin. Its image is

Answer 1

I'm pretty sure the answer is (-2,-5)
(x,y) -> (y,-x)

Answer 2

To solve this we must follow the rule of the 90 degrees rotation. It states that the coordinates of a  point will be switched and then the x value will be negative.

(x,y)=(y,-x)

So the new coordinates for your point would be (-2,-5)

(5,-2)=(-2,-5)

Which is our final answer.

Hope this helps!