Question

find the ratio in which (-8,3) divides the join of points (2,-2) and (-4,1)

Answer 1

Here is your solution

Let the required ratio be k:1
Then,


$-8 = \frac{ - 4k + 2}{k + 1} \\ - 8k - 8 = - 4k + 2 \\ - 8k + 4k = 2 + 8 \\ - 4k = 10 \\ \\ k = \frac{ - 10}{4}$

Therefore the required ratio is -10:4

Answer 2

Let the ratio be k: 1.

$by \: using \: section \: formula \\ \\ - 8 = \frac{ - 4k + 2}{k + 1} \\ - 8k - 8 = - 4k + 2 \\ - 8k + 4k = 2 + 8 \\ - 4k = 10 \\ k = \frac{ - 10}{4} \\ k = \frac{ - 5}{2} \\ \\ so \: the \: ratio = \frac{ - 5}{2}$