Help plz. M is the midpoint of AB. The coordinates of A are (-7,5) and the coordinates of Mare (- 9,0). Find the coordin

Question

Help plz. M is the midpoint of AB. The coordinates of A are (-7,5) and the coordinates of Mare (- 9,0). Find the coordinates of

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Peyton 1 month 2021-09-11T12:10:46+00:00 2 Answers 0

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    0
    2021-09-11T12:12:11+00:00

    Answer:

    (-9, -2)

    Step-by-step explanation:

    Given:  A:  (-7, 5)

                M:  (-9, 0)

    Notice that the x-separation of A and M is 2;

    That is, M is 2 units to the left of A.  

    Similarly, the y-separation is 5; M is 2 units below A.

    Following this train of thought, we predict the coordinates of B as follows:

    x-coordinate:  subtract 2 from -7, obtaining -9;

    y-coordinate:  subtract 2 from 0, obtaining -2.

    The coordinates of B are (-9, -2).

    0
    2021-09-11T12:12:39+00:00

    We can do a kind of point arithmetic,

    M = (A + B)/2

    2M = A + B

    B = 2M – A

    B = 2(-9,0) – (-7,5) = (-18 – -7, 0 -5) = (-11, -5)

    Check:

    (A+B)/2 = ( (-7,5)+(-11,-5) )/2 = (-18/2, 0/2) = (-9,0), good

    Answer: B is (-11, -5)

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