document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=157483>Question 157483</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. \r<BR>\n" );
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document.write( "3x-8y= -18<BR>\n" );
document.write( "32x+12y= -18<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 #116049 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=116049\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Transform each equation to slope-intercept form, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Then compare the slopes.<BR>\n" );
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document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-8y=-18 ALIGN=MIDDLE  ALT=\"3x-8y=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8y=3x%2B18 ALIGN=MIDDLE  ALT=\"8y=3x%2B18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%283%2F8%29x-9%2F4 ALIGN=MIDDLE  ALT=\"y=%283%2F8%29x-9%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32x%2B12y=+-18 ALIGN=MIDDLE  ALT=\"32x%2B12y=+-18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12y=-32x-18 ALIGN=MIDDLE  ALT=\"12y=-32x-18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%2832%2F12%29-18%2F12 ALIGN=MIDDLE  ALT=\"y=-%2832%2F12%29-18%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%288%2F3%29-3%2F2 ALIGN=MIDDLE  ALT=\"y=-%288%2F3%29-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The slopes are negative reciprocals of each other.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5Dm%5B2%5D=%283%2F8%29%28-8%2F3%29=-1 ALIGN=MIDDLE  ALT=\"m%5B1%5Dm%5B2%5D=%283%2F8%29%28-8%2F3%29=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This is a property of perpendicular lines.<BR>\n" );
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document.write( "Graphical proof of perpendicularity.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+0.375%2Ax-9%2F4%2C+-2.67%2Ax-3%2F2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+0.375%2Ax-9%2F4%2C+-2.67%2Ax-3%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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