One.
Only one line can be drawn through eight 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.
line segments
In Euclidian or plane geometry, there can be only one line through two fixed points. Lines cannot actually be drawn; if you see it it is not a geometric line. If the points are on a curved surface as in a geometry that is non-Euclidian, then there can be infinitely many lines connecting two points.
In Geometry
uncountable lines can be drawn through one point.
1 straight line. An infinite number of curved lines.
If you're talking about straight lines (not curves) the answer is one.
An infinite number of lines can be drawn through a single point, but only one through two points (of course, if the points don't have the same coordinates).
There is only one possible line that can can through two different points, presuming there are no overlaps.
There is only one possible line that can can through two different points, presuming there are no overlaps.
Infinite lines because a circle has infinite lines of symmetry.