document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=12436>Question 12436</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The section I'm working on is linear equations in two variables and their graphs.  I need to find the slope of the line that goes through each pair of points...(1/2, 2), (-1, 1/2).  I do not understand how to graph this or how to figure the slope. I have the same problem with decimals!!  Any suggestions you have would be warmly welcomed!! Thank You, Allison Nilsson </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #6336 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=6336\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The slope (m) of a line passing through the two points, (x1, y1) and (x2, y2) is given by:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28y2-y1%29%2F%28x2-x1%29 ALIGN=MIDDLE  ALT=\"m+=+%28y2-y1%29%2F%28x2-x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute the x and y-coordinates of the two given points to find the slope, m.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28%281%2F2%29-2%29%2F%28-1-%281%2F2%29%29 ALIGN=MIDDLE  ALT=\"m+=+%28%281%2F2%29-2%29%2F%28-1-%281%2F2%29%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=m+=+%28-3%2F2%29%2F%28-3%2F2%29 ALIGN=MIDDLE  ALT=\"m+=+%28-3%2F2%29%2F%28-3%2F2%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=m+=+1 ALIGN=MIDDLE  ALT=\"m+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > The slope is: m = 1\r<BR>\n" );
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document.write( "To graph the line, you will need to find the equation of the line. <BR>\n" );
document.write( "You can use the slope-intercept form: y = mx + b.  You have just found m (=1), now, into the formula, you substitute the x and y-coordinates of either one of the two given points, then you'll solve for b, the y-intercept. Let's use the first point (1/2, 2).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx+%2B+b ALIGN=MIDDLE  ALT=\"y+=+mx+%2B+b\"   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=2+=+%281%29%281%2F2%29+%2B+b ALIGN=MIDDLE  ALT=\"2+=+%281%29%281%2F2%29+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for b.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+1%2F2+%2B+b ALIGN=MIDDLE  ALT=\"2+=+1%2F2+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 1/2 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2+=+b ALIGN=MIDDLE  ALT=\"3%2F2+=+b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now you can write the equation of the line that passes through the  two given points.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x+%2B+3%2F2 ALIGN=MIDDLE  ALT=\"y+=+x+%2B+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Let's see what the graph of this line looks like.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-5%2C5%2C-5%2C5%2Cx%2B%283%2F2%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-5%2C5%2C-5%2C5%2Cx%2B%283%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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