Two lines intersect at a point
If two different lines intersect, they will always intersect at one point.
Two lines that do not intersect on the same plane are Parallel lines.
Two lines that are in the same plane and never intersect are called "Parallel," meaning that they are lines with the same slope, but not y-intersect.
If the two lines lie in the same plane, and they do not intersect, then they are parallel. If they are not in the same plane, and do not intersect, then they are called skew lines.
If the 2 lines lie in the same plane, and they are not parallel, then they will intersect at some point. If the 2 lines are skew lines, then they are not in the same plane, and they will not intersect (but they are Not Parallel)
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.
No. Two lines can include the same point only if they intersect.
Two lines intersect at a point
Lines in the same plane that do not intersect Lines in the same plane that do not intersect Lines in the same plane that do not intersect Lines in the same plane that do not intersect
no
Any number of lines can intersect all at the same point. Think of a circle. Now think of all of its diameters.
No, skew lines cannot be in the same plane, since they do not have a point on common. Two lines intersect if they lie in a common plane, and by definition, these intersecting lines are not skew lines.
No because only co-linear lines lie on the same plane
If two different lines intersect, they will always intersect at one point.
No, two straight lines can intersect at only one point and that is their point of intersection.
They intersect at a point