The maximum is 10C2 = 10*9/(2*1) = 45
If no pair of lines is parallel and if each pairwise intersection is distinct, there will be 10 points of intersection.
5 x 5 equels 10
the parallel lines never intercept so they do not have any common points.
There are 91 lines.
there are 6 lines can pass through 4 noncollinear points.
10 lines, but only if no three of them are collinear.
10
There are 20 common points.
points : infinite lines : 4 vertices : 4
3 points
Through any two distinct points, exactly one line can be drawn. For 5 non-collinear points, each pair of points can form a line. The number of ways to choose 2 points from 5 is given by the combination formula ( \binom{5}{2} ), which equals 10. Therefore, 10 lines can be drawn through 5 non-collinear points.
If the two lines are actually "on top of each other", they can have infinitely many points in common. If they are parallel, they have no points in common. If they are perpendicular, they have one point in common.