Question

can we say that parallel lines never intersect ?​

Answer 1

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Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle. They never Intersect.

Answer 2

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.

Parallel lines are lines that never intersect because they have the same slope (m). So, this means that they only possible difference in there equations is the y-intercept (b). That makes it very easy to tell it lines are parallel given their equations in slope-intercept form.

Lines that are not coplanar and do not intersect are called skew lines. Two planes that do not intersect are called parallel planes. The symbol || is read as “is parallel to.” If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line.

Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other.