Distance between two parallel lines: Difference between revisions

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{{Short description|Problem in coordinate geometry}}

{{hatnote|This article considers two lines in a plane. For two lines not in the same plane, see {{slink|Skew lines|Distance}}.}}

{{redirect-distinguish|Distance between two lines|Distance between two skew lines}}

The '''[[distance]] between two [[Parallel (geometry)|parallel]] [[Line (geometry)|straight lines]]''' in the [[plane (geometry)|plane]] is the minimum distance between any two points lying on the lines. In the case of intersecting lines, the distance between them is zero, whereas in the case of two [[Parallel (geometry)|parallel]] lines, the distance is the [[perpendicular]] distance from any [[Point (geometry)|point]] on one line to the other line.

== Formula and proof ==

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:<math>y = -x/m \, .</math>

This distance can be found by first solving the [[linear systems]]

:<math>\begin{cases}

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==See also==

*[[Distance from a point to a line]]

*[[Skew lines#Distance]]

==References==

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[[Category:Euclidean geometry]]

*[[Skew lines#Category:Distance]]