Parallel lines intersect at infinity, Myth or Reality?

One of the hardest concepts to assimilate in the first classes of projective geometry is the improper point. An improper point is a point at infinity and can be translated or interpreted as an address.

While metric geometry two lines intersect or are parallel, in projective geometry always intersect at a point proper or improper, what does not change in any way the operation with this geometric-mathematical model.