Question

In what ratio does the point (-4.6) divide the line segmentu
points A(-6, 10) and B(3,-8)?​

Answer 1

Apply section formula

(x,y) = [mx2+nx1/m+n,my2+my1/m+n]

(-4,6)=[3m+(-6n)/m+n,-8m+10n/m+n]

-4=3m-6n/m+n

-4m-4n=3m-6n

3m+4m= 6n-4n

7m= 2n

m/n =2/7