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Find the distance between (3,4) and the line 4x + 3y + 6 = 0.

 Nov 25, 2020
 #1
avatar+116126 
+1

(3,4)        and  4x + 3y + 6   =  0 

 

 

distance =    l  4(3)  + 3(4) +  6  l            l 30 l                 30

                   _________________ =      _______    =    ____  =     6 units

                    sqrt  ( 4^2 + 3^2 )               sqrt (25)             5

 

 

cool cool cool

 Nov 25, 2020
 #2
avatar+110 
+1

I would like to note that this works in general; CPhill's method can always be used, it is a formula.

 Nov 25, 2020

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