If you're talking about straight lines (not curves) the answer is one.
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Only one line can be drawn through eight points.
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).
A line consists of infinitely many points which all satisfy some condition. In that respect, one point or even a trillion points do not make a line. There are infinitely many lines that can be drawn through one point.
There is only one possible line that can can through two different points, presuming there are no overlaps.
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.