There is only one possible line that can can through two different points, presuming there are no overlaps.
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Only one line can be drawn through eight points.
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If you're talking about straight lines (not curves) the answer is one.
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.
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).