To rotate a point \( (x, y) \) 180 degrees clockwise around the origin, you can use the following transformation:
\[ (x, y) \rightarrow (-x, -y) \]
For the point \( (5, 8) \):
\[ (5, 8) \rightarrow (-5, -8) \]
So the new point after rotating \( (5, 8) \) 180 degrees clockwise is \( (-5, -8) \).
The correct response is \( (-5, -8) \).