Question

Find the co-ordinates of a point dividing the line segment joining the points (2,3) and (5,-7) Internally in the ratio 3:4.

Answer 1

Let

 A(X₁'Y₁) = (2,3)     

B(X₂'Y₂) = (5,-7) 

and  m:n = 3:4

By internal section formula, 

co-ordinates of point P are given by

and,