The points (2, -3), (4,3) and (5, k/2) are on the same straight line. The value(s) of k is (are):

12

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Solution

The correct option is A $12$
Given (2, -3), (4, 3) and (5, $\frac{k}{2}$ ) are on same straight line.
$∴ \frac{3 - (- 3)}{4 - 2} = \frac{\frac{k}{2} - 3}{5 - 4} ⟹ \frac{6}{2} = \frac{\frac{k}{2} - 3}{1} ⟹ 3 = \frac{k}{2} - 3 ∴ k = 12$

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