document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=72755>Question 72755</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i solve -3x=2y in order to graph? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52043 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=52043\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You don't really need to do anything different to get this graph.  All you need to have is two<BR>\n" );
document.write( "points to establish the graph.  You can get these points by choosing convenient or easy to work<BR>\n" );
document.write( "with values for x and then calculating the corresponding values for y.<BR>\n" );
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document.write( "For example:<BR>\n" );
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document.write( "You are given the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x=2y ALIGN=MIDDLE  ALT=\"-3x=2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Suppose we let x = 0.  The equation becomes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2A%280%29+=+2%2Ay ALIGN=MIDDLE  ALT=\"-3%2A%280%29+=+2%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" > which reduces to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+2y ALIGN=MIDDLE  ALT=\"0+=+2y\"   DISABLED_style= \"max-width:90%; height:auto;\" > and dividing both sides by 2 results in:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+y ALIGN=MIDDLE  ALT=\"0+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So we have one point on the graph: x = 0 and y = 0 or (0,0).<BR>\n" );
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document.write( "Choose another value for x: let x = +4.  Substituting that value into the original equation<BR>\n" );
document.write( "results in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-3%2A4+=+2y+ ALIGN=MIDDLE  ALT=\"+-3%2A4+=+2y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > which after the multiplication on the left side becomes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12+=+2y ALIGN=MIDDLE  ALT=\"-12+=+2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Then dividing both sides by 2 tells us that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6+=+y ALIGN=MIDDLE  ALT=\"-6+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So the point<BR>\n" );
document.write( "(+4, -6) is also on the graph.  Plot these two points on the graph and draw a line through<BR>\n" );
document.write( "them.  That is the graph.<BR>\n" );
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document.write( "Note that it is always a good idea to work out a third point to see if it also falls on <BR>\n" );
document.write( "the graph.  If it does, then you are probably correct in your graph.  But if it does not <BR>\n" );
document.write( "line up, then one of your points is incorrect.<BR>\n" );
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document.write( "When you are done your graph should look like this one:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C-20%2C20%2C-20%2C20%2C+%283%2F2%29%2Ax%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-20%2C20%2C-20%2C20%2C+%283%2F2%29%2Ax%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope this method saves you some work and helps you to gain some insight into graphing<BR>\n" );
document.write( "techniques. </SPAN>\n" );
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