SOLUTION: What is the shortest distance from the point (6, 0) to the line y = 2x-2? Express your answer in simplest radical form.

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Question 1069454: What is the shortest distance from the point (6, 0) to the line y = 2x-2? Express your answer in simplest radical form.
Found 2 solutions by Fombitz, Edwin McCravy:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Shortest distance is found using a line perpendicular to that goes through (6,0).
Perpendicular lines have slopes that are negative reciprocals.


So, using the point-slope form,


Now find the intersection point of the two lines,



and



So find use the distance formula,




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Answer by Edwin McCravy(20065)   (Show Source): You can put this solution on YOUR website!
The above is correct.  However you may have studied another 
method, and perhaps this is the way you should do it:

The formula for the shortest distance from the point (x1,y1) to the line Ax+By+C=0 is:




The line's equation y = 2x-2 is equivalent to

              -2x + y + 2 = 0 and  

A = -2, B = 1, C = 2, x1 = 6, y1 = 0,



Edwin
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