Coordinates of Points Calculator (Externally and Internally)  

Section or Ratio Internally
(mx2+nx1/m+n , my2+ny1/m+n)
Apply Formula
(mx2+nx1/m+n , my2+ny1/m+n)
(2*4+1*2/2+1 , 2*5+1*3/2+1)
(8+2/3 , 10+3/3 )
(10/3 , 13/3)
(3.3 , 4.3)
Case 2: Find the coordinates of the point which divides the line joining the points (2, 1), (3, 4) externally in the ratio 2:5.
x1 = 2, y1 = 1 and
x2 = 3, y2 = 4
m = 2, n = 5
Apply formula
(mx2nx1/mn , my2ny1/mn)
(2*35*2/25 , 2*45*1/25)
(610/3 , 85/3)
(4/3 , 3/3)
(4/3 , 1)