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Question
Find the value of k: the point P(1, k) lies on the line passing through the points A(2, 2) and B(3, 3).
Solution
Given, point P(1, k) lies on the line joining A(2, 2) and B(3, 3).
∴ Slope of AB = Slope of BP
∴ `(3 - 2)/(3 - 2) = (3 - "k")/(3 - 1)`
∴ 1 = `(3 - "k")/2`
∴ 2 = 3 – k
∴ k = 1.
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