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Question
Find coordinates of midpoint of segment joining (– 2, 6) and (8, 2)
Solution
Let A(x1, y1) = A(– 2, 6), B(x2, y2) = B(8, 2), C(x, y) be the midpoint of seg AB.
∴ x1 = – 2, y1 = 6, x2 = 8, y2 = 2
By midpoint formula,
C(x, y) = `((x_1 + x_2)/2, (y_1 + y_2)/2)`
= `((-2 + 8)/2, (6 + 2)/2)`
= `(6/2, 8/2)`
= (3, 4)
∴ Coordinates of midpoint of segment joining (– 2, 6) and (8, 2) are (3, 4).
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