If the points A(2,k),B(3,4) and C(7,9) are co-linear, then find the value of k [2Marks]
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Solution
Given, the points A(2,k),B(3,4) and C(7,9) are co-linear.
Hence, the slope of line AB must be equal to the slope of line BC. [1Mark]
Hence, 4−k3−2 = 9−47−3 ⇒ k = 114. [1Mark]