Final answer:
Two lines will intersect at exactly one point if they are in the same plane and are not parallel. However, parallel lines or lines that are not in the same plane (skew lines) will never intersect.
Step-by-step explanation:
If you have two lines, they will intersect at exactly one point if they are in the same plane and are not parallel lines. This is sometimes true but not always, as there are exceptions. If the lines are parallel, they will never intersect, which means there would be no point at which they both pass. Furthermore, if the lines are not in the same plane, which is the case with skew lines (lines that do not lie in the same plane and are not parallel), they also will never meet and thus will not have an intersection point.
It is crucial to note that the concept of lines intersecting at exactly one point presumes that the lines extend infinitely in both directions, which is the definition of a line in Euclidean geometry. If we are considering line segments, which have a fixed start and end, the statement could vary depending on the position of the two segments.