Question

Find the ratio in which the line segment joining the points (- 3, 10) and (6, - 8) is divided by (- 1, 6).

Answer 1

Let the ratio in which the line segment joining (−3, 10) and (6, −8) is divided by point (−1, 6) be k:1.
Therefore, $-1=\frac{6k-3}{k+1}$
-k-1=6k-3
7k=2
k=$\frac{2}{7}$
Therefore,the required ratio is 2:7