Question

Which among the following is a point on the line joining the points (4,3) and (7,9) ?

• A. (6,8)
• B. (1,-3)
• C. (-2,-1)
• D. (10,13)

Answer 1

Answer:

B. (1,-3)

Eqn of the line by

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

$\frac{y-3}{x-4}=\frac{9-3}{7-4}$

$\frac{y-3}{x-4}=\frac{6}{3}$

$(y-3)=2(x-4)$

$2x-8=(y-3)$

$2x-y=5$

$(x,y)=(1,-3)$