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