Coordinates of Points Calculator (Externally/ Internally)

X1: Y1:
X2: Y2:
Ratio
m: n:
     
Coordinates of Point

Section or Ratio Externally

(mx2-nx1)/(m-n),(my2-ny1)/(m-n),

Section or Ratio Internally

(mx2+nx1)/(m+n),(my2+ny1)/(m+n),

Section formula or Ratio formula to find the coordinates of a point P which divides the segment internally or externally in the ratio m : n.

For example, when m : n = 2 : 1, x1 = 2, y1 = 3 and x2 = 4, y2 = 5 (internally)

Apply them into formula

(mx2+nx1/m+n , my2+ny1/m+n)
(2*4+1*2/2+1 , 2*5+1*3/2+1)
(3.3  , 4.3)
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Coordinates of Points Calculator (Externally/ Internally)