Given : The ratio of the line intercepted between the axes is 2 :3
Let (x1 , y1) = A(a,0)
And (x2 , y2) = B(0, b)
Where a and b are intercepts of the line.
The equation of the line is : = 1
And the co-ordinate axis is divided at (5,-2) , thus by using Section formula
(x ,y) =
(5,-2) divides the co-ordinate axis, thus (x,y)= (5,-2).
= 5 a = 25/3 , = -2 b= -5
Equation of the line becomes = 1
Hence ,3x – 5y = 25 is the required equation of the line.
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