Question

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

• A. $\frac{11}{4}$
• B. $\frac{11}{4}$
• C. $\frac{4}{11}$
• D. $\frac{4}{11}$

Answer 1

The correct option is A $\frac{11}{4}$

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