Question

Endpoint: (-9,-1), midpoint: (8,14) given the midpoint and one endpoint of a line segment, find the other endpoint.

Answers

  1. Answer:
     (25, 29)
    Step-by-step explanation:
    The midpoint formula can be solved to give an expression for one end point of a line segment in terms of the other end point and the midpoint.

    Formula

    The midpoint (M) of segment AB is found from …
      M = (A +B)/2
    Solving for B, we get …
      B = 2M -A

    Application

    For A(-9, -1) and M(8, 14), we find the end point B to be …
      B = 2(8, 14) -(-9, -1)
      B = (16 -(-9), 28 -(-1)) = (25, 29)
    The other end point is (25, 29.

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