# A line segment with endpoints at (-1 , -9) and (3, -5 ) is rotated clockwise by pi/2. What are the new endpoints of the line segment?

Jun 24, 2016

$\left(- 1 , - 9\right) \to \left(- 9 , 1\right) \text{ and } \left(3 , - 5\right) \to \left(- 5 , - 3\right)$

#### Explanation:

I am assuming this a rotation about the origin.

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

a point (x ,y) → (y ,-x)

hence (-1 ,-9) → (-9 ,1) and (3 ,-5) → (-5 ,-3)