document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=849726>Question 849726</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the distance between the two parallel lines given by the equation: 5x-4y=22 and -75x=150-60y\r<BR>\n" );
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document.write( "the instructions given by the teacher were:<BR>\n" );
document.write( "1. put both equations in y=mx+b form<BR>\n" );
document.write( "2. find a point (x,y) on either equation<BR>\n" );
document.write( "3. find equation of the perpendicular line that passes through (x,y)<BR>\n" );
document.write( "4. use systematic equation to solve with equation 3 (the new one) and the one that wasn't used to get the point in step 2<BR>\n" );
document.write( "5. calculate with distance formula\r<BR>\n" );
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document.write( "I don't know how to continue after solving both equations for y=mx+b </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #511740 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=511740\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the distance between the two parallel lines given by the equation: 5x-4y=22 and -75x=150-60y<BR>\n" );
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document.write( "5x-4y=22 --> y = (5/4)x - 11/2<BR>\n" );
document.write( "-75x=150-60y --> y = (5/4)x + 5/2<BR>\n" );
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document.write( "y = (5/4)x - 11/2<BR>\n" );
document.write( "(0,-11/2) is a point<BR>\n" );
document.write( "Perpendicular thru the point --> y = (-4/5)x - 11/2<BR>\n" );
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document.write( "y = (-4/5)x - 11/2 = (5/4)x + 5/2<BR>\n" );
document.write( "-16x - 110 = 25x + 50<BR>\n" );
document.write( "x = -160/41<BR>\n" );
document.write( "y = 640/205 - 11/2 = 256/82 - 451/82 = -195/82<BR>\n" );
document.write( "Intersection at (-160/41,-195/82)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2+=+diffy%5E2+%2B+diffx%5E2 ALIGN=MIDDLE  ALT=\"d%5E2+=+diffy%5E2+%2B+diffx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "d =~ 4.95 </SPAN>\n" );
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