Point.
No, two straight lines can intersect at only one point and that is their point of intersection.
Perpendicular lines intersect at one point only.
If two different lines intersect, they will always intersect at one point.
In Euclidean plane geometry two infinitely long straight lines intersect at only one point
yes
Lines in a plane can intersect at only one point.
Any number of lines can intersect all at the same point. Think of a circle. Now think of all of its diameters.
Two straight lines, whether they're in the same or different planes, must intersect at either one point or else at no points.
A system of equations will have one solution if the graphs of the lines intersect. This is because the lines intersect at a single point. Let's say that point is (a, b). The x = a, y = b is the one and only solution for the system.
No, parallel lines never intersect, so they do not have any points in common. Intersecting lines have one common point.
Theorem: If two lines intersect, then exactly one plane contains both lines. So, when two or more lines intersect at one point, they lie exactly in the same plane. When two or more lines intersect at one point, their point of intersection satisfies all equations of those lines. In other words, the equations of these lines have the same solution, which is the point of intersection.