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Question
Find the mid-point of the line segment joining the points:
(–6, 7) and (3, 5)
Solution
A(–6, 7) and B(3, 5)
Mid-point of AB = `((-6 + 3)/2, (7 + 5)/2)`
= `((-3)/2, 6)`
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Find coordinates of the midpoint of a segment joining point A(–1, 1) and point B(5, –7)
Solution: Suppose A(x1, y1) and B(x2, y2)
x1 = –1, y1 = 1 and x2 = 5, y2 = –7
Using midpoint formula,
∴ Coordinates of midpoint of segment AB
= `((x_1 + x_2)/2, (y_1+ y_2)/2)`
= `(square/2, square/2)`
∴ Coordinates of the midpoint = `(4/2, square/2)`
∴ Coordinates of the midpoint = `(2, square)`
