document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=319897>Question 319897</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show that the points A=(2,5), B=(6,1), C=(8,-1) lie on a line by using slopes. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #229096 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=229096\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To do this, you will need to find the slope 3 times.\r<BR>\n" );
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document.write( "You need the slope from A to B, from B to C and from A to C.  If they all share the same slope, then all 3 points lie on the same line.\r<BR>\n" );
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document.write( "Slope from A to B = (1-5)/6-2) = -4/4 or -1.\r<BR>\n" );
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document.write( "Slope from B to C = (-1-1)/(8-6) = -2/2 or -1.\r<BR>\n" );
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document.write( "Slope from A to C = (-1-5)/(8-2) = -6/6 = -1.\r<BR>\n" );
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document.write( "They all share slope -1 and so they all lie on the same line.\r<BR>\n" );
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