document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150713>Question 150713</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if the line containing points (-8,m) and (2,1) is parallel to the line containing points (11,-1) and (7,m+1), what must be the value of m? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110648 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=110648\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In order to two lines to be paralle, they need to have the same slope. Generally slope is assigned to a variable named \"m\". In this problem the points are using m in them, so use a different variable for slope.\r<BR>\n" );
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document.write( "slope using the first two points<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"s+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%281-m%29%2F%282+-+%28-8%29%29 ALIGN=MIDDLE  ALT=\"s+=+%281-m%29%2F%282+-+%28-8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%281-m%29%2F10 ALIGN=MIDDLE  ALT=\"s+=+%281-m%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "slope using the second two points<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"s+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%28m%2B1+-+1+%29%2F%287+-+11%29 ALIGN=MIDDLE  ALT=\"s+=+%28m%2B1+-+1+%29%2F%287+-+11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+m%2F%28-4%29 ALIGN=MIDDLE  ALT=\"s+=+m%2F%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now set the two slopes equal<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-m%29%2F10+=+-m%2F4 ALIGN=MIDDLE  ALT=\"%281-m%29%2F10+=+-m%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-m+=+-5m%2F2 ALIGN=MIDDLE  ALT=\"1-m+=+-5m%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+-+2m+=+-5m ALIGN=MIDDLE  ALT=\"2+-+2m+=+-5m\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+-3m ALIGN=MIDDLE  ALT=\"2+=+-3m\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F3+=+m ALIGN=MIDDLE  ALT=\"-2%2F3+=+m\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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