Question

In what ratio does the point P(−1, 6) divides the line segment joining the points (-3, 10) and (6, -8)​

Answer 1

Let the ratio be k:1

Y=k(y2)+1(y1)/k+1

6=-8k+10/k+1

6(k+1)=-8k+10

6k+6=-8k+10

6k+8k=10-6

14k=4

K=4m14

K=2/7

Therefore,

So, k:1=2:7

Answer 2

Answer:

The ratio is $2:7$.

Step-by-step explanation:

Let the ratio be $k:1$

$y=\frac{k(y_2)+1(y_1)}{k+1} \\\\6=\frac{-8k+10}{k+1} \\\\6(k+1)=-8k+10\\6k+6=-8k+10\\6k+8k=10-6\\14k=4\\\\k=\frac{4}{14}\\\\k=\frac{2}{7}$

$k=\frac{k}{1} \\\frac{k}{1}=\frac{2}{7}$

Hence, $k:1=2:7$