# A line segment with endpoints at (1, 3) and (8, -2) is rotated clockwise by pi/2. What are the new endpoints of the line segment?

##### 1 Answer
Jun 8, 2018

$\left(3 , - 1\right) \text{ and } \left(- 2 , - 8\right)$

#### Explanation:

$\text{assuming rotation is about the origin}$

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

• " a point "(x,y)to(y,-x)

$\left(1 , 3\right) \to \left(3 , - 1\right) \text{ and } \left(8 , - 2\right) \to \left(- 2 , - 8\right)$