The midpoint of P(x, y) and Q(8, 6) is (5, 8). Find x and y.

Explanation

P(x, y) Q(8, 6)

midpoint = (5, 8)

x + 8 = 5

\(\frac{y + 6}{2}\) = 8

x + 8 = 10

x = 10 - 8 = 2

y + 6 = 16

y + 16 - 6 = 10

therefore, P(2, 10)

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