The concept here is that a line passes through the intersection of 2 lines of the point satisfies the equation of the line right. It is always of the form L1+xL2 as every line represented by this equation has the same common root as the intersection point that satisfies it. Hope you get a better...
Oh hey dude you've got it wrong. They are two parallel lines they don't intersect at a point they can never represent a family of lines passing through their intersection point.