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Calculate the coordinates of G, the midpoint of AB, given A(-2, -3) and B(4, -5).

Mathematics

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13.1 Calculate the coordinates of G, the midpoint of AB.

  1. Use the midpoint formula G(x1+x22,y1+y22)G\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right) with points A(−2,−3)A(-2, -3) and B(4,−5)B(4, -5).

    G=(−2+42,−3+(−5)2)G = \left(\frac{-2+4}{2}, \frac{-3+(-5)}{2}\right)
  2. Simplify the coordinates.

    G=(22,−82)=(1,−4)G = \left(\frac{2}{2}, \frac{-8}{2}\right) = (1, -4)

    The coordinates

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