{{Short description|Problem in coordinate geometry}}
The '''[[distance]] between two [[Parallel (geometry)|parallel]] [[Line (geometry)|lines]]''' in the [[plane (geometry)|plane]] is the minimum distance between any two points lying on the lines. It equals the [[perpendicular]] distance from any [[Point (geometry)|point]] on one line to the other line.
{{redirect-distinguish|Distance between two lines|Distance between two skew lines}}
InThe the'''[[distance]] casebetween oftwo non-[[Parallel (geometry)|parallel coplanar]] [[Line–lineLine intersection(geometry)|intersecting lines]],''' in the [[plane (geometry)|plane]] is the minimum distance between themany istwo zeropoints.
For non-parallel and non-coplanar lines ([[skew lines]]), a shortest distance between nearest points can be calculated.
== Formula and proof ==
Line 14:
:<math>y = -x/m \, .</math>
This distance can be found by first solving the [[linear systems]]
