They do not.
A set of lines can also be considered as a system of linear equations. But the fact that there is such a system does not mean that the lines intersect.
parallel lines
parallel lines
skewed lines
Parallel lines.
Vertex
intersecting lines
parallel lines
parallel lines
Skew lines.
Perpendicular lines.
Perpendicular lines.
Parallel lines.
skewed lines
The intercept
Vertex
Perpendicular
They are called parallel lines.