Is there (always) a line that passes through exactly 2 points?

What is the main question posed regarding the arrangement of points in a plane?

Explain the significance of the statement 'N choose two' in the context of the problem.

How does the concept of distance play a role in ordering the lines that contain points?

Describe the process used to find a line that contains exactly two points.

What geometric principle is used to prove that one line is closer to its nearest point than another?

What conclusion can be drawn if a line contains three or more points?

Summarize the main finding of the Sylvester Gallai theorem as discussed in the text.