To rotate a point \((x, y)\) clockwise 90 degrees about the origin, the new coordinates can be found using the transformation:
\[ (x, y) \rightarrow (y, -x) \]
For the point \((-4, -6)\):
\[ (-4, -6) \rightarrow (-6, -(-4)) = (-6, 4) \]
Thus, the new point after rotating \((-4, -6)\) 90 degrees clockwise about the origin is:
\[ (-6, 4) \]
So the correct response is:
\((-6, 4)\)