Question 642658
a)


Any line is uniquely determined by 2 points. So if you have a line, then you know it has at least two points on it. 


-------------------------------------------------------

b)


Parallel lines will NEVER intersect in euclidean geometry (in the plane). This means that parallel lines will not have any points in common. So the existence of parallel lines shows us that if you have a line, then there are points that do not lie on this given line (since these points will lie on the parallel lines).