Question

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