To rotate a point \((x, y)\) 90 degrees clockwise around the origin, you can use the following formula for the new coordinates:
\[ (x', y') = (y, -x) \]
Applying this to the point \((-2, 3)\):
- \(x = -2\)
- \(y = 3\)
Substituting these values into the formula:
\[ x' = y = 3 \] \[ y' = -x = -(-2) = 2 \]
Thus, the new coordinates after rotating \((-2, 3)\) 90 degrees clockwise are:
\[ (3, 2) \]