Show that the plane is not empty. In other words, points exist and our geometry is not trivial. Im told to use one, and only only one incidence or betweenness axiom.

Show that lines exist in the plane.

Im told to use two, and only two axioms

I've read all the axioms, read them again, and then read them a couple more times, and I just can't figure which to use and how to show the above two statements...

Please any thoughts is greatly apppreciated