document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1071484>Question 1071484</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Find the slope of the line through (8, 2) and (6, 6). <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #686426 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=686426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The slope, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" > is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%282-6%29%2F%288-6%29=%28-4%29%2F2=highlight%28-2%29 ALIGN=MIDDLE  ALT=\"m=%282-6%29%2F%288-6%29=%28-4%29%2F2=highlight%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "If you need a formula:<BR>\n" );
document.write( "The slope of the line through <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%28x%5BA%5D%2Cy%5BA%5D%29 ALIGN=MIDDLE  ALT=\"A%28x%5BA%5D%2Cy%5BA%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%7Bx%5BB%5D%2Cy%5BB%5D%29 ALIGN=MIDDLE  ALT=\"B%7Bx%5BB%5D%2Cy%5BB%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28y%5BB%5D-y%5BA%5D%29%2F%28x%5BB%5D-x%5BA%5D%29 ALIGN=MIDDLE  ALT=\"m=%28y%5BB%5D-y%5BA%5D%29%2F%28x%5BB%5D-x%5BA%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
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document.write( "If you need a tip:<BR>\n" );
document.write( "1) To make sure you do not get numbers mixed up,<BR>\n" );
document.write( "start with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22=%22 ALIGN=MIDDLE  ALT=\"%22=%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%22____%22%29%2F%28%22____%22%29 ALIGN=MIDDLE  ALT=\"%28%22____%22%29%2F%28%22____%22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "2) Pick one of the points (it does not matter, and write its coordinates in,<BR>\n" );
document.write( "y on top, x in the bottom, each followed with a minus sign,<BR>\n" );
document.write( "to get something like<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22=%22 ALIGN=MIDDLE  ALT=\"%22=%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%222+-+___%22%29%2F%28%228+-+___%22%29 ALIGN=MIDDLE  ALT=\"%28%222+-+___%22%29%2F%28%228+-+___%22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "3) fill the blanks with the coordinates of the other point,<BR>\n" );
document.write( "y on top, x in the bottom, to get something like<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22=%22 ALIGN=MIDDLE  ALT=\"%22=%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%222+-+6%22%29%2F%28%228+-+6%22%29 ALIGN=MIDDLE  ALT=\"%28%222+-+6%22%29%2F%28%228+-+6%22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
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document.write( "If you need understanding:<BR>\n" );
document.write( "The slope means the rate of increase in the y-coordinate,<BR>\n" );
document.write( "meaning<BR>\n" );
document.write( "the increase in y-coordinate per unit increase of the x-coordinate.<BR>\n" );
document.write( "When going from (6,6) to (8,2) , x increases from 6 to 8,<BR>\n" );
document.write( "an increase of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8-6=2 ALIGN=MIDDLE  ALT=\"8-6=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "At the same time y changes from 6 to 2,<BR>\n" );
document.write( "an increase of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2-6=-4 ALIGN=MIDDLE  ALT=\"2-6=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "which you may want to call a decrease of 4.<BR>\n" );
document.write( "Since a straight line has the same slope throughout,<BR>\n" );
document.write( "an increase of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4 ALIGN=MIDDLE  ALT=\"-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > increases by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "means that for every unit increase in x, the increase in y is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "the ratio of y increase to x increase, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4%29%2F2=-2 ALIGN=MIDDLE  ALT=\"%28-4%29%2F2=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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