document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1006236>Question 1006236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show the way using slope that the points (-6,5),(1,-2) and (3,-4) lie on a straight line.\r<BR>\n" );
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document.write( "please help me! Thanks it would be best if youll explain it. I will appreciate the help :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #622381 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=622381\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> show points (-6,5), (1,-2), (3, -4)<BR>\n" );
document.write( "If these points lie on the same line, they will satisfy the equation for that line.  To determine the equation, we will use the standard form of a line,<BR>\n" );
document.write( "y = mx +b where m is the slope of the line and b is the y intercept<BR>\n" );
document.write( "m = (y2 -y1) / (x2 -x1), we will pick the first two points to determine slope<BR>\n" );
document.write( "m = (-2 -5) / (1 - (-6)) = -7/7 = -1, so far we have<BR>\n" );
document.write( "y = -x + b<BR>\n" );
document.write( "now use point 1 and substitute -6 for x and 5 for y<BR>\n" );
document.write( "5 = -(-6) +b<BR>\n" );
document.write( "5 = 6 + b<BR>\n" );
document.write( "b = -1, therefore our equation is<BR>\n" );
document.write( "y = -x -1<BR>\n" );
document.write( "now check each point<BR>\n" );
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document.write( "5 = -(-6) -1<BR>\n" );
document.write( "5 = 5<BR>\n" );
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document.write( "-2 = -1 -1<BR>\n" );
document.write( "-2 = -2<BR>\n" );
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document.write( "-4 = -3 -1<BR>\n" );
document.write( "-4 = -4<BR>\n" );
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document.write( "therefore the three points are on the same line y = -x -1<BR>\n" );
document.write( "here is a graph of the line<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+-x-1%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+-x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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