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Find the distance between the point (3,1) and the line y = x - 4
i did like this :
y = -2x + b < equation
1 = -2(2) + b < use (3,1)
1 = -6 + b < add 6
7 = b
y = -2x + 7 < completed equation
THAN
x - 4 = -2x + 7 < substitution 
add 4 both sides
x = -2 + 11
3x = -2 + 11
3x = 9 
x = 9/3 < solved for x
THAN
y = -2 (9/3) + 7
y = -6 + 7
y = 1 < solved for y 
THAN distance formula
D = sqrt( ( (x2 - x1)^2 + (y2 - y1)^2 )
(3,1) and (3,1)
D = sqrt ( (3 - 3)^2 + (1 - 1)^2 )
D = sqrt( 0 + 0)
D = 0 < solved
answer is zero
correct?
Desi
Raat Key Rani !
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.
             .
             .          /
           o .         /
            o.        /
             o       /
             .o     /
             . o   /
             .  . /
             ....o...........
             .  / o
             . /   o
             ./     o
             /       o
             .        o
             .         o
             .
             .     square root of 2
             .     one down and one right.
igloo myrtilles fourmis
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so am i right?
Desi
Raat Key Rani !
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No. The distance of a point and a line is 0 if the point is in the line. In your question, however, the coordinate (3,1) doesn't satisfy the equation y = x - 4 because 3 - 4 ≠ 1.
Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.
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Problem solved, after 10 years..
The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven. 
He will be sorely missed.
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Hi;
John gave an answer in post #2 also.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
 Always satisfy the Prime Directive of getting the right answer above all else.
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Well, I answered post #3, since he seemed to not understand implicit answers.
Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.
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No problem.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
 Always satisfy the Prime Directive of getting the right answer above all else.
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