A line segment has endpoints,( 2,-1) and (5, -4). What are these new endpoints after rotating the segments 90° clockwise?
To rotate a point 90° clockwise, we can use the following transformation matrix:
```
[ 0 1 ]
[-1 0 ]
```
Applying this matrix to each point, we can calculate the new endpoints:
For the first endpoint (2, -1):
```
x' = 0 * 2 + 1 * (-1) = -1
y' = (-1) * 2 + 0 * (-1) = -2
```
So the new endpoint is (-1, -2).
For the second endpoint (5, -4):
```
x' = 0 * 5 + 1 * (-4) = -4
y' = (-1) * 5 + 0 * (-4) = -5
```
So the new endpoint is (-4, -5).
Therefore, the new endpoints after rotating the line segment 90° clockwise are (-1, -2) and (-4, -5).