To Find: The equation of the line whose portion intercepted between the axes is bisected at the point (3, - 2).
Formula used: Let the equation of the line be
x/a+y/b = 1
Since it is given that this equation, whose portion is intercepted between the axes is bisected i.e.; is divided into ratio 1:1.
Let A(a,0) and B(0,b) be the points foring the coordinate axis.
⟹ a and b are intercepts of x and y -axis respectively.
By using mid-point formula (m:n = 1:1)
Since given point (3 , - 2) divides coordinate axis in 1:1 ratio
(x, y) = (3 , - 2)
- 4x +6y = - 24
- 2x +3y = - 12
Hence the required equation of the line is 2x - 3y = 12.
