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.
1