document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203671>Question 1203671</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find C such that (10,-1), (-4,10), and (C,-6) lie on a line. What is the C value? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #839421 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=839421\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">   Find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+ ALIGN=MIDDLE  ALT=\"+C+\"   DISABLED_style= \"max-width:90%; height:auto;\" > such that (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10 ALIGN=MIDDLE  ALT=\"+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1 ALIGN=MIDDLE  ALT=\"+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > ), (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-4 ALIGN=MIDDLE  ALT=\"+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10 ALIGN=MIDDLE  ALT=\"+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > ), and (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C ALIGN=MIDDLE  ALT=\"+C\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-6 ALIGN=MIDDLE  ALT=\"+-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > ) lie on a line. What is the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C ALIGN=MIDDLE  ALT=\"+C\"   DISABLED_style= \"max-width:90%; height:auto;\" >  value?\r<BR>\n" );
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document.write( "the slope of the line can be calculated using the slope formula:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m=%28y2-y1%29%2F%28x2-x1%29 ALIGN=MIDDLE  ALT=\"+m=%28y2-y1%29%2F%28x2-x1%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=+m=%2810-%28-1%29%29%2F%28-4-10%29 ALIGN=MIDDLE  ALT=\"+m=%2810-%28-1%29%29%2F%28-4-10%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=+m=%2810%2B1%29%2F%28-14%29 ALIGN=MIDDLE  ALT=\"+m=%2810%2B1%29%2F%28-14%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=+m=-11%2F14 ALIGN=MIDDLE  ALT=\"+m=-11%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "We know that the slope between the two points (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10 ALIGN=MIDDLE  ALT=\"+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1 ALIGN=MIDDLE  ALT=\"+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > ) and  (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C ALIGN=MIDDLE  ALT=\"+C\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-6 ALIGN=MIDDLE  ALT=\"+-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > ) is also equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-11%2F14 ALIGN=MIDDLE  ALT=\"+-11%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( " that is, we can set up an equation involving <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C ALIGN=MIDDLE  ALT=\"+C\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C ALIGN=MIDDLE  ALT=\"+C\"   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=+%28-6-%28-1%29%29%2F%28C-10%29=-11%2F14 ALIGN=MIDDLE  ALT=\"+%28-6-%28-1%29%29%2F%28C-10%29=-11%2F14\"   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=+%28-6%2B1%29%2F%28C-10%29=-11%2F14 ALIGN=MIDDLE  ALT=\"+%28-6%2B1%29%2F%28C-10%29=-11%2F14\"   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=+-5%2F%28C-10%29=-11%2F14 ALIGN=MIDDLE  ALT=\"+-5%2F%28C-10%29=-11%2F14\"   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=+-5%2A14=-11%28C-10%29 ALIGN=MIDDLE  ALT=\"+-5%2A14=-11%28C-10%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=-70=-11C%2B110 ALIGN=MIDDLE  ALT=\"-70=-11C%2B110\"   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=+11C=70%2B110 ALIGN=MIDDLE  ALT=\"+11C=70%2B110\"   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=+C=180%2F11 ALIGN=MIDDLE  ALT=\"+C=180%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "answer is:\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+180%2F11 ALIGN=MIDDLE  ALT=\"+C+=+180%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "and the point is:\r<BR>\n" );
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document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+180%2F11 ALIGN=MIDDLE  ALT=\"+180%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-6 ALIGN=MIDDLE  ALT=\"+-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > )<BR>\n" );
document.write( " </SPAN>\n" );
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