Question

Determine the ratio in which the line 2x + y – 4 = 0 divides the line segment joining the points A(2, – 2) and B(3, 7).

Answer 1

Solution: Let us assume the line divides AB in k : 1 ratio.

Coordinates of point of division can be given as follows:

Substituting the values of x and y in following equation;

Hence, the ratio is 2 : 9.