Question

If the points A(2,k),B(3,4) and C(7,9) are co-linear, then find the value of k
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Answer 1

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.
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Hence, $\frac{4-k}{3-2}$ = $\frac{9-4}{7-3}$
$\Rightarrow$ k = $\frac{11}{4}$.
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