Question

The coordinates of the midpoint of gh are m(-13/2,-6) and the coordinates of one endpoint are g(-4,1). what is the other endpoint?

Answers

  1. Applying the midpoint formula, the coordinates of the other endpoint are: (-9, -13).

    How to Apply the Midpoint Formula?

    The midpoint formula, which can be used in determining the coordinates of the midpoint between two endpoints is usually expressed as: M[(x1 + x2)/2, (y1 + y2)/2].
    Given the following coordinates:
    Midpoint of GH –> m(-13/2,-6) = (x, y)
    One endpoint —> G(-4, 1) = (x1, y1)
    The other endpoint —> (x2, y2)
    Plug in the values into the formula used in calculating the midpoint:
    m(-13/2,-6) = [(-4 + x2)/2, (1 + y2)/2]
    Solve for x2
    -13/2 = (-4 + x2)/2
    -13/2 × 2 = -4 + x2
    -13 = -4 + x2
    -13 + 4 = x2
    -9 = x2
    x2 = -9
    Solve for y2
    -6 = (1 + y2)/2
    2(-6) = 1 + y2
    -12 = 1 + y2
    -12 – 1 = y2
    -13 = y2
    y2 = -13
    Thus, using the midpoint formula, the coordinates of the other endpoint are: (-9, -13).
    Learn more about the midpoint formula on:
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