Question:

Please help me if M(-2,9) is the midpoint ?

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if M(-2,9) is the midpoint of segment PQ and the coordinates of P are (8,9) find the coordinates of Q

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  1. Midpoint coordinates are the average of the coordinates of the two endpoints.

    For the coordinates of Q:

      -2 = (8 + x)/2

      -4 = 8 + x

    -12 = x

      9 = (9 + y)/2

    18 = 9 + y

      9 = y

    Therefore Q(-12, 9).

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