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Question
Find the value of k: the points (1, 3), (4, 1), (3, k) are collinear.
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Solution
The points A(1, 3), B(4, 1) and C(3, k) are collinear.
∴ Slope of AB = Slope of BC
∴ `(1 - 3)/(4 - 1) = ("k" - 1)/(3 - 4)`
∴ `(-2)/3 = ("k" - 1)/(-1)`
∴ 2 = 3k – 3
∴ k = `5/3`.
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