Find the equation of the line whose portion intercepted between the coordinate axes is divided at the point (5, 6) in the ratio 3 : 1.
To Find: The equation of the line whose portion intercepted between the coordinate axes is divided at the point (5, 6) in the ratio 3 : 1.
Given : The coordinate axes is divided in the ratio 3 : 1
(x1 , y1) = A(a,0)
(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 (5,6) , thus by using Section formula
(x ,y) = 
= 
= 
(5,6) divides the co-ordinate axis, thus (x,y)= (5,6).
= 5 
a = 20 , 
= 6 
b= 8
Equation of the line becomes 
= 1
8x +20y = 160
2x +5y = 40
Hence the required equation of the line is 2x +5y = 40.
1