Question

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

• A. 2
• B. 4
• C. 6
• D. 8

Answer 1

Answer:

C. 6

Eqn of the line by

$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}$

$\frac{y+3}{x-2}=\frac{3+3}{4-2}$

$\frac{y+3}{x-2}=\frac{6}{2}$

$(y+3)=3(x-2)$

$3x-6=(y+3)$

$3x-y=9$

$3\times 5 -k =9$

$15-k=9$

$-k=-6$

$k=6$