1. **Problem Statement:** Rotate the line segment with endpoints $(-4, -2)$ and $(-2, -1)$ by 90° clockwise about the origin. 2. **Formula for 90° Clockwise Rotation:** For any point $(x, y)$, the coordinates after a 90° clockwise rotation about the origin are given by: $$ (x', y') = (y, -x) $$ 3. **Apply the formula to each endpoint:** - For $(-4, -2)$: $$ (x', y') = (-2, -(-4)) = (-2, 4) $$ - For $(-2, -1)$: $$ (x', y') = (-1, -(-2)) = (-1, 2) $$ 4. **Result:** The rotated segment has endpoints at $(-2, 4)$ and $(-1, 2)$. This means the segment is now positioned between these two points after the 90° clockwise rotation about the origin.