To rotate a point \( (x, y) \) 90 degrees clockwise around the origin, you can apply the following transformation:
\[ (x, y) \rightarrow (y, -x) \]
Let's apply this transformation to each endpoint of the line segment.
First endpoint: \( (0, -3) \)
- Apply the transformation:
\[ (0, -3) \rightarrow (-3, 0) \]
Second endpoint: \( (0, -7) \)
- Apply the transformation:
\[ (0, -7) \rightarrow (-7, 0) \]
Thus, after rotating the line segment with endpoints \( (0, -3) \) and \( (0, -7) \) 90 degrees clockwise, the new endpoints are \( (-3, 0) \) and \( (-7, 0) \).
Therefore, one of the endpoints of the rotated segment is:
\[ (-3, 0) \]
Another endpoint after rotation is:
\[ (-7, 0) \]
So, one possible endpoint of the segment after rotation is \( (-3, 0) \).