document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35651>Question 35651</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find s if the line joining (2,6) to (s+4,s) is parallel to the line joining (5,3) and (-2,0). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21798 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=21798\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the two lines are parallel then their slopes must be equal.  Remember that slope = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28RISE%29%2F%28RUN%29+ ALIGN=MIDDLE  ALT=\"m+=+%28RISE%29%2F%28RUN%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  \r<BR>\n" );
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document.write( "If lines are parallel, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28RISE%29%2F%28RUN%29+=+%28RISE%29%2F%28RUN%29+ ALIGN=MIDDLE  ALT=\"%28RISE%29%2F%28RUN%29+=+%28RISE%29%2F%28RUN%29+\"   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=%28s-6%29%2F%28s%2B4-2%29+=+%280-3%29%2F%28-2-5%29 ALIGN=MIDDLE  ALT=\"%28s-6%29%2F%28s%2B4-2%29+=+%280-3%29%2F%28-2-5%29\"   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=+%28s-6%29%2F%28s%2B2%29+=+%28-3%29%2F%28-7%29 ALIGN=MIDDLE  ALT=\"+%28s-6%29%2F%28s%2B2%29+=+%28-3%29%2F%28-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28s-6%29%2F%28s%2B2%29+=+3%2F7 ALIGN=MIDDLE  ALT=\"+%28s-6%29%2F%28s%2B2%29+=+3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fb=c%2Fd ALIGN=MIDDLE  ALT=\"a%2Fb=c%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ad=b%2Ac ALIGN=MIDDLE  ALT=\"a%2Ad=b%2Ac\"   DISABLED_style= \"max-width:90%; height:auto;\" >, it follows that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28s-6%29%2F%28s%2B2%29+=+3%2F7 ALIGN=MIDDLE  ALT=\"+%28s-6%29%2F%28s%2B2%29+=+3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%28s-6%29+=+3%28s%2B2%29+ ALIGN=MIDDLE  ALT=\"7%28s-6%29+=+3%28s%2B2%29+\"   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=7s+-+42+=+3s+%2B+6 ALIGN=MIDDLE  ALT=\"7s+-+42+=+3s+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract 3s from each side, and add +42 to each side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4s=+48 ALIGN=MIDDLE  ALT=\"4s=+48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+12 ALIGN=MIDDLE  ALT=\"s+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To avoid public embarrassment, perhaps I should check this.  The two points that were given in terms of s were (2,6) to (s+4,s), which if s = 12, would be (2,6) to (16,12).  The slope between these would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812-6%29%2F%2816-2%29+=+6%2F14+=+3%2F7 ALIGN=MIDDLE  ALT=\"%2812-6%29%2F%2816-2%29+=+6%2F14+=+3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This is the same as the other slope, so it checks.\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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document.write( " </SPAN>\n" );
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