document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=249104>Question 249104</A>: <I><SPAN STYLE=\"word-break: break-all;\"> directions\r<BR>\n" );
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document.write( "are the graph of the line in the  pair parallel?explain\r<BR>\n" );
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document.write( "y=1/6x+8\r<BR>\n" );
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document.write( "-2x+12y=-11\r<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 #181548 by </B><A HREF=/tutors/aboutme.mpl?userid=College+Student><B>College Student(505)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=College+Student><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=College+Student><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=181548\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Are the graph of the lines in the pair parallel?  Explain.\r<BR>\n" );
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document.write( "y=(1/6)x+8   ...and...   -2x+12y=-11\r<BR>\n" );
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document.write( "Facts:  <BR>\n" );
document.write( "1.  Two parallel lines share the same slope.<BR>\n" );
document.write( "2.  To determine a slope, express the equations in this 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( "3.  m = slope\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F6%29x%2B8 ALIGN=MIDDLE  ALT=\"y=%281%2F6%29x%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <--- is already in y=mx+b form.  Slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%2B12y=-11 ALIGN=MIDDLE  ALT=\"-2x%2B12y=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12y=2x-11 ALIGN=MIDDLE  ALT=\"12y=2x-11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28%282x%29%2F12%29-%2811%2F12%29 ALIGN=MIDDLE  ALT=\"y=%28%282x%29%2F12%29-%2811%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F6%29x-%2811%2F12%29 ALIGN=MIDDLE  ALT=\"y=%281%2F6%29x-%2811%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <--- the slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The answer is: they are parallel lines because they share the same slope.\r<BR>\n" );
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document.write( "Here is how their graphs look like:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F6%29x%2B8 ALIGN=MIDDLE  ALT=\"y=%281%2F6%29x%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" > represented in red<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F6%29x-%2811%2F12%29 ALIGN=MIDDLE  ALT=\"y=%281%2F6%29x-%2811%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > represented in green<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph+%28300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+%28x%2F6%29%2B8%2C+%28x%2F6%29-11%2F12%29 ALIGN=MIDDLE  ALT=\"graph+%28300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+%28x%2F6%29%2B8%2C+%28x%2F6%29-11%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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