Distance from a point to a line: Difference between revisions

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==Cartesian coordinates==
[[File:PointToLineDistance v2.png|thumb|''This '''picture''' is a stub, help improve it.''. It tries to explain the roles of the values in the formula. Note: values are NOT to scale. Cyan line represents the formula to the left.]]
===Line defined by an equation===
In the case of a line in the plane given by the equation {{nowrap|1=''ax'' + ''by'' + ''c'' = 0,}} where ''a'', ''b'' and ''c'' are [[real number|real]] constants with ''a'' and ''b'' not both zero, the distance from the line to a point (''x''<sub>0</sub>,''y''<sub>0</sub>) is<ref>{{harvnb|Larson|Hostetler|2007|loc=p. 452}}</ref><ref>{{harvnb|Spain|2007}}</ref>{{rp|p.14}}