document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=75688>Question 75688</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Are the following lines parallel, perpendicular, or neither?<BR>\n" );
document.write( "   L1 with equation x – 5y = 10<BR>\n" );
document.write( "   L2 with equation 5x + y = 5<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54383 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=54383\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First we need to solve both of these equations for y:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+5y+=+10 ALIGN=MIDDLE  ALT=\"x+-+5y+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+5y+=+10-x ALIGN=MIDDLE  ALT=\"-+5y+=+10-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract x from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-2%2B%281%2F5%29x ALIGN=MIDDLE  ALT=\"y+=+-2%2B%281%2F5%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -5\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+%2B+y+=+5 ALIGN=MIDDLE  ALT=\"5x+%2B+y+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 5x from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+5-5x ALIGN=MIDDLE  ALT=\"y+=+5-5x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So we have two equations <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+5-5x ALIGN=MIDDLE  ALT=\"y+=+5-5x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-2%2B%281%2F5%29x ALIGN=MIDDLE  ALT=\"y+=+-2%2B%281%2F5%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > with slopes<BR>\n" );
document.write( "of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=1%2F5 ALIGN=MIDDLE  ALT=\"m=1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=-5 ALIGN=MIDDLE  ALT=\"m=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Since they are the negative inverse of each other (ie <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5Bp%5D=-1%2Fm ALIGN=MIDDLE  ALT=\"m%5Bp%5D=-1%2Fm\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5Bp%5D ALIGN=MIDDLE  ALT=\"m%5Bp%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the perpendicular slope), the two equations are perpendicular.\r<BR>\n" );
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