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In most cases, in a single point. It is also possible that there is no intersection, or that the intersection is the entire line.
The hyperbolic parallel postulate states that given a line L and a point P, not on the line, there are at least two distinct lines through P that do not intersect L.The negation is that given a line L and a point P, not on the line, there is at most one line through P that does not intersect L.The negation includes the case where there is exactly one such line - which is the Euclidean space.
A point, a line, a plane and a [3-d] space
They can be, but not necessarily. If two lines in the same plane never intersect, they are parallel. Though, two lines can exist in the same plane without being parallel. Ie, two lines that intersect at a 90 degree angle are perpendicular. Most lines in a plane aren't parallel.
More than one statement is correct about a line and a point:A line contains an infinite number of points.A line is the shortest distance, in Euclidean geometry, between two points.In a Euclidean geometry-defined universe, two lines can at most meet at one point (where they intersect; lines may also be askew in which case they do not meet at any point, meaning they do not live on the same plane).A point is a zero-dimensional entity (it possesses no length nor width nor height) which lives on 1D; a line is a one-dimensional entity (it possesses length but no width nor height) which lives on 2D.As we know, a line is the graph of the solution set of a linear equation. Each solution is a point on the line, and each point on the line is a solution to the equation.