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Question
Answer the following 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
Since P(1, k) lies on the line passing through the points A(2, 2) and B(3, 3), the points P, A, B are collinear.
∴ slope of AP = slope of AB
∴ `("k" - 2)/(1 - 2) = (3 - 2)/(3 - 2)`
∴ `("k" - 2)/(-1) = 1/1` = 1
∴ k – 2 = –1
∴ k = 1
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