If a line has the equation $ \frac{y}{a} + \frac{z}{b} =1, x = 0 $ how can we find the equation of the plane passing through it.
The method that i know is to convert the line to the symmetric form, and solve it further (which indeed gives me the solution of the question).
But the solution said that, any plane passing through this line will be of the form :-
$ \frac{y}{a} + \frac{z}{b} -1 + \lambda\ x=0$ .
I wish to know how can one derive this equation mathematically?