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:

let AB be a line with A(-3,10) and B(6,-8) . P(-1,6) is the point which divide line segment in two parts.

the ratio in which P divides AB be m:n

section formula -

coordinate of P = ( mx2+nx1/m+n,my2+ny1/m+n)

(-1,6) = (6m-3n/m+n,-8m+10n/m+n)

-1 = 6m-3n/m+n

-m-n = 6m-3n

6m+m = -n+3n

7m = 2n

m/n = 2/7

m:n = 2:7

hence, the ratio in which P divides AB is 2:7.