A line is made up of an infinite number of points.
A line can be considered as a locus of points. However, it is not "made up" of points in the way that a physical object is made up of molecules, or atoms, or sub-atomic particles.
They are what the line is made up of.
a line or line-segment
a line
2 or more points
It is a Line Segment.
segment
A line is made up of many points.
Collinear Points.
A line is made up of a large (infinite) number of points. When we say a point is on a line, we mean that it is one of the pints that form the line.
A line is not made up of points for the very reason that points have no dimension. It is absolutely impossible for things with no dimension, so matter how many are added, to ever equal something of one dimension. It is easy to think of points as dots. Dots, however, are only representations of points to help us visualize pints. Although many dots added together can make a line, points cannot.