find the ratio in which (2,1) divides the line segment joining (1,4) ,(4,-5)
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Let the ration be k : 1.
x₁ = 1 , x₂ = 4 , y₁ = 4 , y₂ = -5 , x = 2 , y = 1
We know that,
x = ( mx₂ + nx₁ ) / m + n
2 = ( 4k + 1 ) / k + 1
4k + 1 = 2k + 2
2k - 1 = 0
k = 1 / 2
Hence the ration is 1 : 2 .
You can also solve it form
y = ( my₂ + ny₁ ) / ( m + n )
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