Question

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

Answer 1

Answer: 2:7

Step-by-step explanation: 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 = 6k-3/k+1

-k - 1 = 6k -3

7k = 2

k = 2/7

Therefore, the required ratio is 2:7.

Answer 2

let ratio be (K, 1)
by section formula
6k+(-3)/k+1 , -8k +10/k+1 = -1,6
6k-3/k+1 , -8k+ 10/ k+1 = -1,6
by comparing
6k - 3/ k+1 = -1
6k -3 = -k -1
7k = 2
K = 2/7
ratio = 2/7 , 1


HOPE IT WILL HELP YOU