document.write( "Question 357239: y= 3x and y= 3x+10 find the distance between each pair of parallel lines
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #255183 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Find the perpendicular line that goes through (0,0).
\n" ); document.write( "Since perpendicular lines have slopes that are negative reciprocals,
\n" ); document.write( "\"3%2Am2=-1\"
\n" ); document.write( "\"m2=-1%2F3\"
\n" ); document.write( "\"y=-%281%2F3%29x%2Bb\"
\n" ); document.write( "Using the origin,
\n" ); document.write( "\"0=-%281%2F3%29%280%29%2Bb\"
\n" ); document.write( "\"b=0\"
\n" ); document.write( "\"y=-%281%2F3%29x\"
\n" ); document.write( "Now look for the intersection of \"y=3x%2B10\" and \"y=-%281%2F3%29x\"
\n" ); document.write( "\"-%281%2F3%29x=3x%2B10\"
\n" ); document.write( "\"-x=9x%2B30\"
\n" ); document.write( "\"-10x=30\"
\n" ); document.write( "\"x=-3\"
\n" ); document.write( "Then find the y coordinate,
\n" ); document.write( "\"y=%281%2F3%29%283%29=1\"
\n" ); document.write( "Now find the distance from (0,0) to (-3,1) using the distance formula,
\n" ); document.write( "\"D%5E2=%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2\"
\n" ); document.write( "\"D%5E2=%28-3-0%29%5E2%2B%281-0%29%5E2\"
\n" ); document.write( "\"D%5E2=9%2B1\"
\n" ); document.write( "\"highlight%28D=sqrt%2810%29%29\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" );