document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209384>Question 1209384</A>: <I><SPAN STYLE=\"word-break: break-all;\"> True or false: the points (4,2) (8,10) and (11,16) are collinear </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #848729 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=848729\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Label the points as A,B,C in any order you prefer.<BR>\n" );
document.write( "A = (4,2)<BR>\n" );
document.write( "B = (8,10)<BR>\n" );
document.write( "C = (11,16)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let's find the slope of line AB.<BR>\n" );
document.write( "m = (y2 - y1)/(x2 - x1)<BR>\n" );
document.write( "m = (10 - 2)/(8 - 4)<BR>\n" );
document.write( "m = 8/4<BR>\n" );
document.write( "m = 2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Do the same for line BC<BR>\n" );
document.write( "m = (y2 - y1)/(x2 - x1)<BR>\n" );
document.write( "m = (16 - 10)/(11 - 8)<BR>\n" );
document.write( "m = 6/3<BR>\n" );
document.write( "m = 2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Lines AB and BC have the same slope, so the three <font color=red>points are collinear</font>. <BR>\n" );
document.write( "Collinear points are on the same straight line. <BR>\n" );
document.write( "You can use graphing tools like <a  rel=nofollow HREF=\"https://www.desmos.com/calculator\">Desmos</a> and <a  rel=nofollow HREF=\"https://www.geogebra.org/calculator\">GeoGebra</a> to verify. <BR>\n" );
document.write( "The equation of the line that goes through all three points is y = 2x-6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Answer: <font color=red>True</font><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );