Question

Find the coordinates of the midpoint of a segment with the endpoints ( − 15 , 4 ) and ( 2 , − 10 ) .

Answers

  1. The coordinates of the midpoint of a segment with the endpoints (-15,4) and (2,-10) is (-13/2, -6/2).
    Given,
    Two endpoints as  (-15, 4) and (2, -10).
    We need to find the coordinates of the midpoint of segments with endpoints A and B.

    What are the coordinates of a midpoint between two points of a line?

    The coordinates of the midpoint (x, y) is given by:
    x = (x_1 + x_2) / 2
    y = (y_1 + y_2) / 2
    We have,
    (-15, 4) = (x_1, y_1)
    (2, -10) = (x_2, y_2)
    Putting in  x = (x_1 + x_2) / 2 and y = (y_1 + y_2) / 2
    x = (-15 + 2) / 2 = -13/2
    y = (4 + (-10)) / 2 = -6/2
    Thus the coordinates of the midpoint is (-13/2, -6/2).
    Learn more about the coordinates of a midpoint of a line here:
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