# A line segment with endpoints at #(3 , -2 )# and #(5, 8 )# is rotated clockwise by #(3 pi)/2#. What are the new endpoints of the line segment?

##### 1 Answer

Nov 20, 2016

( 3,-2) would change to (2,3)

and (5,8) would change to (-8,5)

#### Explanation:

To find the new coordinates, the process of clockwise rotation by

I. First rotate by

II Next rotate by

Thus any point (x,y) on rotation by

Thus ( 3,-2) would change to (2,3)

and (5,8) would change to (-8,5)