document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156414>Question 156414</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Function Table<BR>\n" );
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document.write( "2                .6<BR>\n" );
document.write( "4                2.2<BR>\n" );
document.write( "5                 3\r<BR>\n" );
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document.write( "What is the rule?\r<BR>\n" );
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document.write( "(In =x and out = answer) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115416 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=115416\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the two-point form of a straight line against two of the points and then test the other point against the rule you develop to see if the three given points are colinear.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-y%5B1%5D=%28%28y%5B1%5D-y%5B2%5D%29%2F%28x%5B1%5D-x%5B2%5D%29%29%28x-x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"y-y%5B1%5D=%28%28y%5B1%5D-y%5B2%5D%29%2F%28x%5B1%5D-x%5B2%5D%29%29%28x-x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D ALIGN=MIDDLE  ALT=\"P%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > be (5,3) and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B2%5D ALIGN=MIDDLE  ALT=\"P%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > be (4,2.2)\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-3=%28%283-2.2%29%2F%285-4%29%29%28x-5%29 ALIGN=MIDDLE  ALT=\"y-3=%28%283-2.2%29%2F%285-4%29%29%28x-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=y-3=0.8%28x-5%29 ALIGN=MIDDLE  ALT=\"y-3=0.8%28x-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=y-3=0.8x-4 ALIGN=MIDDLE  ALT=\"y-3=0.8x-4\"   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=y=0.8x-1 ALIGN=MIDDLE  ALT=\"y=0.8x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > is your rule.  Now check the other point:\r<BR>\n" );
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document.write( "Does <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.6=0.8%282%29-1 ALIGN=MIDDLE  ALT=\"0.6=0.8%282%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >?  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.6=1.6-1 ALIGN=MIDDLE  ALT=\"0.6=1.6-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.6=0.6 ALIGN=MIDDLE  ALT=\"0.6=0.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > -- Yep.\r<BR>\n" );
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document.write( "So your rule fits all three points and you are good to go. </SPAN>\n" );
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