document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=438060>Question 438060</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how to graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=1%2F2x ALIGN=MIDDLE  ALT=\"+y=1%2F2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #303017 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=303017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "I suspect that you have misrepresented your problem and that you really mean:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ \frac{1}{2}x\">\r<BR>\n" );
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document.write( "rather than\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ \frac{1}{2x}\">\r<BR>\n" );
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document.write( "Be that as it may, you can use the same basic process either way.\r<BR>\n" );
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document.write( "Step 1:  Pick a value for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">.  It can be anything you like, but I recommend small integers -- it makes the arithmetic easier.\r<BR>\n" );
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document.write( "Step 2:  Do the indicated arithmetic to determine the value of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\">\r<BR>\n" );
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document.write( "Step 3:  Create an ordered pair <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (x,y)\"> using the selected value from step 1 and the calculated value from step 2.\r<BR>\n" );
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document.write( "Step 4:  Plot the point.\r<BR>\n" );
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document.write( "Step 5:  Repeat steps 1 through 4 with a different value for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">.\r<BR>\n" );
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document.write( "If you actually meant the linear equation that I suggested above, then plotting two points is sufficient.  Just draw a line all the way across your graph paper through the two plotted points.  If the equation is what you actually represented, namely <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\ =\ \frac{1}{2x}\">, then you have some more work to do.  You will have to repeat step 5 several times and you will have to avoid selecting the value zero for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> at any time.  Don't forget to pick some negative as well as positive values for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> so that you get both branches of your hyperbola.  When you think you have plotted enough points, then draw smooth curves through the two sets of points.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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