document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=154484>Question 154484</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,\r<BR>\n" );
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document.write( "Can someone help me plot this graph it suppose to be a linear equation in two variables \r<BR>\n" );
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document.write( "7x+2y=9<BR>\n" );
document.write( "4x+5y=6\r<BR>\n" );
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document.write( "I sorry, I been out of school for 15 years and I have forgotten how to do these graph.\r<BR>\n" );
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document.write( "Again, Thank you for taking the time to help me.\r<BR>\n" );
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document.write( "Mark </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #113749 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=113749\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, it's helpful to get your equations into the \"slope-intercept\" form.  Remember those? <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx%2Bb ALIGN=MIDDLE  ALT=\"y+=+mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > where m = the slope and b = the y-intercept.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B2y+=+9 ALIGN=MIDDLE  ALT=\"7x%2B2y+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 7x from both sides of the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x-7x%2B2y+=+-7x%2B9 ALIGN=MIDDLE  ALT=\"7x-7x%2B2y+=+-7x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify this.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y+=+-7x%2B9 ALIGN=MIDDLE  ALT=\"2y+=+-7x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now divide both sides by 2 to get the y by itself.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%2F2+=+%28-7x%2B9%29%2F2 ALIGN=MIDDLE  ALT=\"2y%2F2+=+%28-7x%2B9%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify this.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-7%2F2%29x%2B9%2F2 ALIGN=MIDDLE  ALT=\"y+=+%28-7%2F2%29x%2B9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "For the second equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B5y+=+6 ALIGN=MIDDLE  ALT=\"4x%2B5y+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 4x from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y+=+-4x%2B6 ALIGN=MIDDLE  ALT=\"5y+=+-4x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-4%2F5%29x+%2B+6%2F5 ALIGN=MIDDLE  ALT=\"y+=+%28-4%2F5%29x+%2B+6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since these are linear equations, their graphs will be straight lines and you need only two point to draw a straight line.  So, for each equation, first substitute x = 0 and solve for y, then substitute y = 0 then solve for x.<BR>\n" );
document.write( "First equation:<BR>\n" );
document.write( "The first point:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-7%2F2%29x%2B9%2F2 ALIGN=MIDDLE  ALT=\"y+=+%28-7%2F2%29x%2B9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute x = 0 and solve for y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-7%2F2%29%280%29%2B9%2F2 ALIGN=MIDDLE  ALT=\"y+=+%28-7%2F2%29%280%29%2B9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+9%2F2 ALIGN=MIDDLE  ALT=\"y+=+9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is one point: (0, 9/2)<BR>\n" );
document.write( "The second point:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-4%2F5%29x%2B6%2F5 ALIGN=MIDDLE  ALT=\"y+=+%28-4%2F5%29x%2B6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute y = 0 and solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+%28-4%2F5%29x%2B6%2F5 ALIGN=MIDDLE  ALT=\"0+=+%28-4%2F5%29x%2B6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F5%29x ALIGN=MIDDLE  ALT=\"%284%2F5%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F5%29x+=+6%2F5 ALIGN=MIDDLE  ALT=\"%284%2F5%29x+=+6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by the multiplicative inverse of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F4 ALIGN=MIDDLE  ALT=\"5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3%2F2 ALIGN=MIDDLE  ALT=\"x+=+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is the other point: (3/2, 0) I'll leave the two points for other equation for you to find by using the same technique as above, starting with:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-4%2F5%29x%2B6%2F5 ALIGN=MIDDLE  ALT=\"y+=+%28-4%2F5%29x%2B6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The graph will look like like:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-3%2C3%2C-3%2C6%2C%28-7%2F2%29x%2B9%2F2%2C%28-4%2F5%29x%2B6%2F5%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-3%2C3%2C-3%2C6%2C%28-7%2F2%29x%2B9%2F2%2C%28-4%2F5%29x%2B6%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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