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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).
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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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