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:

m:n = 2:7

Step-by-step explanation:

let A(-3,10) , B(6,-8) and P( -1, 6)

By section formula,

P(x,y) = mx2+nx1/ m+n , my2+ny1/ m+n

6 = -8m+10n/ m+n

6(m+n) = -8m+10n

6m+6n= -8m+10n

6m+8m= 10n-6n

14m= 4n

m= 4n/ 14

m/n= 4/ 14

m/n = 2/7

so, m:n = 2:7