document.write( "Question 146924: find the shortest distance between the parallel lines with equations 5x-12y+33=0 and 5x-12y-6=0 \n" ); document.write( "

Algebra.Com's Answer #107568 by edjones(8007) $\"\"$ $\"About$

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5x-12y+33=0
\n" ); document.write( "5x-12y-6=0
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\n" ); document.write( "5x-12y+33=0
\n" ); document.write( "-12y=-5x-33
\n" ); document.write( "y=5x/12 + 33/12
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\n" ); document.write( "5x-12y-6=0
\n" ); document.write( "-12y=-5x+6
\n" ); document.write( "y=5x/12 - 1/2
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\n" ); document.write( "The distance between the parallel lines is |33/12 + 1/2|=3.25
\n" ); document.write( "This is easier to see if we change the slope from 5x/12 (1st graph) to 0x/12 (2nd graph)\r
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