1. **State the problem:** We need to find the coordinates of point $C(-3, 2)$ after it is rotated 270° clockwise around the origin. 2. **Recall the rotation rule:** A rotation of 270° clockwise is equivalent to a rotation of 90° counterclockwise. 3. **Formula for 90° counterclockwise rotation:** If a point $(x, y)$ is rotated 90° counterclockwise about the origin, the new coordinates are given by: $$ (x', y') = (-y, x) $$ 4. **Apply the formula:** Given $C(-3, 2)$, we substitute $x = -3$ and $y = 2$: $$ x' = -y = -2 $$ $$ y' = x = -3 $$ 5. **Result:** The coordinates of the rotated point $C'$ are: $$ C'(-2, -3) $$ This means after a 270° clockwise rotation, point $C$ moves to $(-2, -3)$.