# A line segment with endpoints at (5 , -9 ) and (2, -2 ) is rotated clockwise by (3 pi)/2. What are the new endpoints of the line segment?

Jun 22, 2016

(5 ,-9) → (9 ,5) and (2 ,-2) → (2 ,2)

#### Explanation:

I am assuming a rotation about the origin.

Under a rotation about the origin of $\frac{3 \pi}{2}$

A point (x ,y) → (-y ,x)

Hence (5 ,-9) → (9 ,5) and (2 ,-2) → (2 ,2)