If this is a 2-D graph and both of the lines are straight, then yes this statement is true. Otherwise it is not necessarily true.
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)
Parallel lines. they never intersect and lie on the same plane.parallel lines
Lines which are parallel. All other lines on the same plane eventually intersect.
If they are not parallel and do not intersect then they would not be in the same plane (not possible), but they would be called skew lines.
parallel lines If they are not on the same plane and never intersect they are skew
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
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)
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.
Two lines that do not intersect on the same plane are Parallel lines.
Parallel lines. they never intersect and lie on the same plane.parallel lines
Lines which are parallel. All other lines on the same plane eventually intersect.
If they are not parallel and do not intersect then they would not be in the same plane (not possible), but they would be called skew lines.
Parallel lines.
Parallel lines
They are parallel lines
parallel lines If they are not on the same plane and never intersect they are skew
Parallel lines. they never intersect and lie on the same plane.parallel lines