To rotate a point (x, y) 270 degrees clockwise around the origin, you can use the following transformation:
\[ (x, y) \rightarrow (y, -x) \]
For the point (5, 8):
- Replace x with 5 and y with 8 in the transformation: \[ (5, 8) \rightarrow (8, -5) \]
Therefore, the new point after rotating (5, 8) 270 degrees clockwise is (8, -5).
So, the correct choice is: 0 (8, -5)