A straight line passes through the point (5, -2) and the portion of the line intercepted between the axes is divided at this point in the ratio 2 : 3. Find the equation of the line.

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.


Formula used:


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


= 1


= 1


= 1


Hence ,3x – 5y = 25 is the required equation of the line.


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