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)

Answer 1

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