document.write( "Question 1056091: Find the distance between the given two lines. y=-x+4; y=-x \n" ); document.write( "

Algebra.Com's Answer #671259 by Alan3354(69443) $\"\"$ $\"About$

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Find the distance between the given two lines. y=-x+4; y=-x
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\n" ); document.write( "Pick a point on y = -x. (0,0) is good.
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\n" ); document.write( "The distance from a point (x,y) to a line ax + by + c = 0 is
\n" ); document.write( "|ax + by + c|/(sqrt(a^2 + b^2)
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\n" ); document.write( "y=-x+4 --> x + y - 4 = 0
\n" ); document.write( "d = |-4|/sqrt(1 + 1) = 4/sqrt(2)
\n" ); document.write( "d = 2sqrt(2)
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