Question

The co-ordinates of the points which divides
the line joining (-2,-2) and (-5, 7) in ratio
2:1 is​

Answer 1

Using the section formula, if a point (x,y) divides the line joining the points (x1,y1) and (x2,y2) in the ratio m:n, then (x,y)=(m+nmx2+nx1,m+nmy2+ny1)

Substituting (x1,y1)=(−2,−2) and (x2,y2)=(−5,7)  and m=2,n=1 in the section formula, we get the point 

(2+12(−5)+1(−2),2+12(7)+1(−2))=(−4,4)