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Question
Answer the following question:
Find the value of k the points A(1, 3), B(4, 1), C(3, k) are collinear
Solution
Given, 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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