Proving Every Line is Contained by Two Planes: Using Incidence Axioms

[LCharette]

I need to prove that every line is contained by at least two planes using only the incidence axioms. This is what I have so far...

Conclusions Justifications
1. Let l be any line. Given
2. l has at least two points A and B such that I-5(4)
l = AB.
3. Space has at least 3 non-collinear points, I-5(2)
that is A,B,C
4. There exists line AC and line BC I-1

Help from here?

 

[HallsofIvy]

Please state clearly what "incidence axioms" you are talking about. There are a number of different such sets of axioms, some of which do not HAVE any "planes" at all.

 

[LCharette]

The incidence axioms regarding lines, points, and planes. For example, I-1 states that any line contains two points.