parallel lines
No. If they are parallel, then a plane exists which both lines lie in. Skew lines can not be on the same plane.
No. Skew lines must be in different planes. Skew lines have no common points (they never cross).
The intersection of a right circular cone and a plane that is parallel to the edge of the cone is a parabola. However, if the vertex of the cone lies on the plane, then the intersection is simply two intersecting lines.
The slope of a straight line is often described by the rise over the run. This is the ratio of the vertical distance between two points and the horizontal distance between them (taken in the same order).
No; there is no physical way to intersect a plane and a double-napped cone to obtain parallel lines. The problem lies in getting a second line that doesn't intersect the first, since both cones intersect at a point, there is no way get a second line without intersecting the first line.
parallel lines
Parallel.
parellel lines
remain an equal distance apart
Parallel lines-lines in the same plane with the same slope.
Parallel lines are always the same distance apart and never touching. This is the definition of parallel in the plane. When we deal with spheres and other geometries, we must sometimes modify this definition. In any case, in the plane they do not meet.
Parallel
I think "parallel" is the word you're looking for?
Lines are parallel if they lie in the same plane, and are the same distance apart over their entire length
Lines are parallel if they lie in the same plane, and are the same distance apart over their entire length. Parallel lines remain the same distance apart over their entire length. No matter how far you extend them, they will never meet.
In Euclidian geometry, which is the geometry of a plane surface, parallel lines do not intersect because that is the definition of parallel lines. But note that there are other geometrical systems in which parallel lines do intersect, for example if they are drawn on the surface of a sphere. Definition of parallel lines: Lines that always stay the same distance apart and never meet.
Two lines of a plane are said to be parallel if they do not intersect and the perpendicular distance betweem them is always same.