document.write( "Question 1126933: What is the distance between the lines
\n" ); document.write( "y = 2x
\n" ); document.write( "and
\n" ); document.write( "y = 2x+5
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Algebra.Com's Answer #743271 by josmiceli(19441) $\"\"$ $\"About$

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The separation between the line will
\n" ); document.write( "have slope $\"+-1%2Fm+=+-1%2F2+\"$
\n" ); document.write( "If I pick the point ( 0,5 ) which is on
\n" ); document.write( "the line $\"+y+=+2x+%2B+5+\"$ , then:
\n" ); document.write( " $\"+%28+5+-+y+%29+%2F+%28+0+-+x+%29+=+-1%2F2+\"$
\n" ); document.write( " $\"+5+-+y+=+%28-1%2F2%29%2A%28-x%29+\"$
\n" ); document.write( " $\"+5+-+y+=+x%2F2+\"$
\n" ); document.write( " $\"+y+=+%28-1%2F2%29%2Ax+%2B+5+\"$
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\n" ); document.write( "Find intersection of this line with $\"+y+=+2x+\"$
\n" ); document.write( " $\"+2x+=+%28-1%2F2%29%2Ax+%2B+5+\"$
\n" ); document.write( " $\"+%285%2F2%29%2Ax+=+5+\"$
\n" ); document.write( " $\"+x+=+2+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+y+=+2x+\"$
\n" ); document.write( " $\"+y+=+4+\"$
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\n" ); document.write( "find distance between ( 0,5 ) and ( 2,4 )
\n" ); document.write( " $\"+d+=+sqrt%28+%28+2+-+0+%29%5E2+%2B+%28+4+-+5+%29%5E2+%29+\"$
\n" ); document.write( " $\"+d+=+sqrt%28+4+%2B+1+%29+\"$
\n" ); document.write( " $\"+d+=+sqrt%285%29+\"$
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\n" ); document.write( "check the math\r
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