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Question 831696: Find the distance between parallel lines
y=x-9
y=x-7
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
y=x-9
y=x-7
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put the equations into standard form: ax + by + c = 0
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x-y-9=0
x-y-7=0
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where:
a = 1
b = -1
c1 = -9
c2 = -7
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distance between parallel lines:
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d = abs(c2 - c1)/sqrt( aa + bb )
d = abs(-7 - -9)/sqrt( 1 + 1 )
d = abs(-7 + 9)/sqrt( 2 )
d = abs(2)/sqrt( 2 )
d = 2/sqrt( 2 )
d = 2sqrt( 2 )/sqrt( 2 )sqrt( 2 )
d = 2sqrt( 2 )/2
d = sqrt( 2 )
d ~= 1.414213562373095
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