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Question
Given M is the mid-point of AB, find the co-ordinates of B; if A = (3, –1) and M = (–1, 3).
Solution
Let B = (x, y), M = (–1, 3), A = (3, –1)
∴ `-1 = (x + 3)/2`
`=>` x + 3 = –2
∴ x = –2 – 3 = –5
`3 = (y - 1)/2`
`=>` y – 1 = 6
∴ y = 6 + 1 = 7
∴ Co-ordinates of B are (–5, 7)
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