To find the new endpoints of the line segment after a 90° clockwise rotation, we will first identify the original endpoints and then apply the rotation to each point.
The original endpoints are \( (0, -3) \) and \( (0, -7) \).
The rule for rotating a point \( (x, y) \) 90° clockwise around the origin is given by the transformation: \[ (x, y) \to (y, -x) \]
Let's rotate each endpoint:
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Rotating (0, -3): \[ (0, -3) \to (-3, 0) \]
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Rotating (0, -7): \[ (0, -7) \to (-7, 0) \]
Thus, after rotating, the new endpoints are \( (-3, 0) \) and \( (-7, 0) \).
Among the provided options, the answer: \[ (-3, 0) \text{ (left parenthesis negative 3 comma 0 right parenthesis)} \]
is one of the endpoints of the rotated segment.