# 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?

##### 1 Answer

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

#(3pi)/2# A point (x ,y) → (-y ,x)

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