The coordinates of G (x₂ , y₂) for line segment EG = (2,2).
As given:
Line segment EG
Partitioned point of line segment is F
Coordinates of F (x ,y)=(1,3) and E (x₁ ,y₁)=(0,4)
Let coordinate of G (x₂ , y₂)
Ratio m:n =1:1
(x ,y) ={ ( mx₂ +nx₁ )/ (m +n) , ( my₂ +n y₁ )/ (m +n)
⇒(1,3) = {(1x₂ +1(0) )/2 , 1y₂ +1(4) /2}
⇒x₂ =2, y₂ =2
Therefore, the coordinates of G (x₂ , y₂) for the given line segment is equal to (2,2).
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