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What is the shortest distance from a point to a line?

 Feb 9, 2017
 #1
avatar+37084 
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A line from the point that intersects the other line line perpindicularly.

 Feb 9, 2017
 #2
avatar+129840 
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Given line    Ax + B + C  = 0     and point (m,n) .....the shortest distance beween the point and the line is given by :   

 

l Am + Bn  + C l

√ [ A^2 + B^2 ]

 

Here's the proof   [Note....the algebra gets a llttle sticky...!!!  ]

 

http://www.intmath.com/plane-analytic-geometry/perpendicular-distance-point-line.php

 

 

cool cool cool

 Feb 9, 2017

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