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Find the midpoint, M, of AB. A = (4, 6) B = (-2, -2) M = ([?], [ ])

Find the midpoint, M, of AB. A = (4, 6) B = (-2, -2) M = ([?], [ ])

Answer

The formula for the midpoint M of a line segment with endpoints A(x1, y1) and B(x2, y2) is given by:

M = ((x1 + x2) / 2, (y1 + y2) / 2)

Substituting the given points A = (4, 6) and B = (-2, -2):

  1. x-coordinate: (4 + (-2)) / 2 = 2 / 2 = 1
  2. y-coordinate: (6 + (-2)) / 2 = 4 / 2 = 2

Therefore, the midpoint M is (1, 2).

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