If you are talking about straight lines, the answer is NONE, because that is what noncollinear means.
If curves are allowed, then the answer is infinitely many.
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there are 6 lines can pass through 4 noncollinear points.
Only one line can be drawn through eight points.
line segments
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).