To find the new point when a point is rotated clockwise about the origin by 90 degrees, you can use the following transformation:
If a point is given by coordinates \((x, y)\), then its coordinates after a clockwise rotation of 90 degrees about the origin will be \((y, -x)\).
For the point \((-4, -6)\):
- Original point: \((-4, -6)\)
- Apply the rotation formula: \[ (y, -x) = (-6, -(-4)) = (-6, 4) \]
So, the new point after the rotation is \((-6, 4)\).
Therefore, the answer is (-6, 4).