document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1045277>Question 1045277</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The points (3,2), (5,k) and (-k,4) are collinear. Find the possible values of k.\r<BR>\n" );
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document.write( "Any help appreciated! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #660671 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=660671\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28k-2%29%2F%285-3%29=%284-k%29%2F%28-k-5%29=%284-2%29%2F%28-k-3%29 ALIGN=MIDDLE  ALT=\"%28k-2%29%2F%285-3%29=%284-k%29%2F%28-k-5%29=%284-2%29%2F%28-k-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, to help you start...\r<BR>\n" );
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document.write( "So what did you do?  That combined equation means that the slopes are equal.  The points must be on the same line.  You have also the additional equation,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28k-2%29%2F%285-3%29=%284-2%29%2F%28-k-3%29 ALIGN=MIDDLE  ALT=\"%28k-2%29%2F%285-3%29=%284-2%29%2F%28-k-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Just try this much of the combination equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28k-2%29%2F%285-3%29=%284-k%29%2F%28-k-5%29 ALIGN=MIDDLE  ALT=\"%28k-2%29%2F%285-3%29=%284-k%29%2F%28-k-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=%28k-2%29%28-k-5%29=%284-k%29%285-3%29 ALIGN=MIDDLE  ALT=\"%28k-2%29%28-k-5%29=%284-k%29%285-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%28k-2%29%28k%2B5%29=2%284-k%29 ALIGN=MIDDLE  ALT=\"-1%28k-2%29%28k%2B5%29=2%284-k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%28k%5E2%2B3k-10%29=8-2k ALIGN=MIDDLE  ALT=\"-1%28k%5E2%2B3k-10%29=8-2k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-k%5E2-3k%2B10=-2k%2B8 ALIGN=MIDDLE  ALT=\"-k%5E2-3k%2B10=-2k%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-k%5E2-k%2B2=0 ALIGN=MIDDLE  ALT=\"-k%5E2-k%2B2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%5E2%2Bk-2=0 ALIGN=MIDDLE  ALT=\"k%5E2%2Bk-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28k%2B2%29%28k-1%29=0 ALIGN=MIDDLE  ALT=\"%28k%2B2%29%28k-1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28k=-2%2Cor%2Ck=1%29 ALIGN=MIDDLE  ALT=\"system%28k=-2%2Cor%2Ck=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Try another part of the combination equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284-k%29%2F%28-k-5%29=%284-2%29%2F%28-k-3%29 ALIGN=MIDDLE  ALT=\"%284-k%29%2F%28-k-5%29=%284-2%29%2F%28-k-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284-k%29%2F%28k%2B5%29=%284-2%29%2F%28k%2B3%29 ALIGN=MIDDLE  ALT=\"%284-k%29%2F%28k%2B5%29=%284-2%29%2F%28k%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284-k%29%2F%28k%2B5%29=2%2F%28k%2B3%29 ALIGN=MIDDLE  ALT=\"%284-k%29%2F%28k%2B5%29=2%2F%28k%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284-k%29%28k%2B3%29=2%28k%2B5%29 ALIGN=MIDDLE  ALT=\"%284-k%29%28k%2B3%29=2%28k%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28k-4%29%28k%2B3%29=-2%28k%2B5%29 ALIGN=MIDDLE  ALT=\"%28k-4%29%28k%2B3%29=-2%28k%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%5E2-k-12=-2k-10 ALIGN=MIDDLE  ALT=\"k%5E2-k-12=-2k-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%5E2%2Bk-2=0 ALIGN=MIDDLE  ALT=\"k%5E2%2Bk-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----------which is the same equation resulted from the first tried part of the combined equation.\r<BR>\n" );
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document.write( "The possible values for k are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28system%28k=-2%2Cor%2Ck=1%29%29 ALIGN=MIDDLE  ALT=\"highlight%28system%28k=-2%2Cor%2Ck=1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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