P divides a line segment AB into two equal halves. P lies at (-1, 4) and B lies at (2,7). What are the coordinates of A?

Question

P divides a line segment AB into two equal halves.
P lies at (-1, 4) and B lies at (2,7).
What are the coordinates of A?

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Trúc Chi 5 months 2021-08-10T20:30:58+00:00 1 Answers 24 views 0

Answers ( )

  1. diemthu
    0
    2021-08-10T20:32:31+00:00
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    Answer:

      A(-4, 1)

    Step-by-step explanation:

    The parts being equal means …

      A – P = P – B

      A = 2P – B . . . . . . . . useful to remember for P being the midpoint of AB

      A = 2(-1, 4) -(2, 7) = (-2-2, 8-7)

      A = (-4, 1)

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