In a 2 dimensional plain they would have to be parallel in order to have no common point; in a 3 dimensional field they do not have to be parallel.
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point I believe the word you're looking for is "intersection". Two non-parallel lines that lie in the same plane will have one point in common where they cross, and that point is the intersection.
Coplanar lines that do not intersect (have no common point) are parallel.Two objects are coplanar if they both lie in the same plane, they must either intersect or be parallel.
Two straight lines in the same plane can't possibly have more than one point in common, unless they are both the same line. If they're parallel, they have no common points. If they're not parallel, then have exactly one common point. If they're the same line, then every point on one line is also on the other one.
Yes, that's what makes them parallel lines - they have the same slope. So they never will intersect with each other. If a set of lines didn't have the same slope, at some point they would intersect and thus would not be parallel.
two lines intersect at a single point in a 2D space assuming they are not parallel. in 3D space they can intersect again at a single point, or an infinite amount of points.