document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248599>Question 248599</A>: <I><SPAN STYLE=\"word-break: break-all;\"> graph the equation.include all intercepts<BR>\n" );
document.write( "3x-6y=12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181193 by </B><A HREF=/tutors/aboutme.mpl?userid=College+Student><B>College Student(505)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=College+Student><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=College+Student><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=181193\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To graph the equation: <BR>\n" );
document.write( "1.  we should solve for \"y\"<BR>\n" );
document.write( "2.  then draw a table of two columns, one labeled \"x\", the other \"y\"<BR>\n" );
document.write( "3.  assign a value to \"x\", then calculate for \"y\" (this yields our first point)<BR>\n" );
document.write( "4.  assign anothe value to \"x\", solve for \"y\" (this would yield our second point)  Now you're ready to trace a line.<BR>\n" );
document.write( "5.  You may assign more \"x\" values to find more \"y\" values.  They would just reinforce your line has been drawn correctly.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "To include all intercepts:<BR>\n" );
document.write( "1.  we set \"x\" to zero and solve for \"y\"<BR>\n" );
document.write( "2.  we set \"y\" to zero and solve for \"x\"\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Problem:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-6y=12 ALIGN=MIDDLE  ALT=\"3x-6y=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6y=-3x%2B12 ALIGN=MIDDLE  ALT=\"-6y=-3x%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-3x%2F-6%29%2B%2812%2F-6%29 ALIGN=MIDDLE  ALT=\"y=%28-3x%2F-6%29%2B%2812%2F-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x%2F2%29-2 ALIGN=MIDDLE  ALT=\"y=%28x%2F2%29-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let's solve for 3 \"y\" values and include zero to find the \"y\" intercept.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x%2F2%29-2 ALIGN=MIDDLE  ALT=\"y=%28x%2F2%29-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-2%2F2%29-2 ALIGN=MIDDLE  ALT=\"y=%28-2%2F2%29-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1-2 ALIGN=MIDDLE  ALT=\"y=-1-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-3 ALIGN=MIDDLE  ALT=\"y=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--- when x=-2, y=-3 ...so we get point (-2,-3)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x%2F2%29-2 ALIGN=MIDDLE  ALT=\"y=%28x%2F2%29-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%280%2F2%29-2 ALIGN=MIDDLE  ALT=\"y=%280%2F2%29-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2 ALIGN=MIDDLE  ALT=\"y=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--- when x=0, y=-2 ...so we get point (0,-2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x%2F2%29-2 ALIGN=MIDDLE  ALT=\"y=%28x%2F2%29-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%282%2F2%29-2 ALIGN=MIDDLE  ALT=\"y=%282%2F2%29-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1-2 ALIGN=MIDDLE  ALT=\"y=1-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1 ALIGN=MIDDLE  ALT=\"y=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <--- when x=2, y=-1 ...so we get point (2,-1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let's now solve for 3 \"x\" values and include zero to find the \"x\" intercept.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-6y=12 ALIGN=MIDDLE  ALT=\"3x-6y=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--- original equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=12%2B6y ALIGN=MIDDLE  ALT=\"3x=12%2B6y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2812%2F3%29%2B%286y%2F3%29 ALIGN=MIDDLE  ALT=\"x=%2812%2F3%29%2B%286y%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4%2B2y ALIGN=MIDDLE  ALT=\"x=4%2B2y\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--- solving for x equation\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4%2B2y ALIGN=MIDDLE  ALT=\"x=4%2B2y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4%2B2%282%29 ALIGN=MIDDLE  ALT=\"x=4%2B2%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4%2B4 ALIGN=MIDDLE  ALT=\"x=4%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8 ALIGN=MIDDLE  ALT=\"x=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--- when y=2, x=8 ...so we get point (8,2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4%2B2y ALIGN=MIDDLE  ALT=\"x=4%2B2y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4%2B2%280%29 ALIGN=MIDDLE  ALT=\"x=4%2B2%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4%2B0 ALIGN=MIDDLE  ALT=\"x=4%2B0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--- when y=0, x=4 ...so we get point (4,0)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4%2B2y ALIGN=MIDDLE  ALT=\"x=4%2B2y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4%2B2%28-2%29 ALIGN=MIDDLE  ALT=\"x=4%2B2%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4-4 ALIGN=MIDDLE  ALT=\"x=4-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--- when y=-2, x=0 ...so we get point (0,-2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x%2F2%29-2 ALIGN=MIDDLE  ALT=\"y=%28x%2F2%29-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is shown below.<BR>\n" );
document.write( "If you look closely, all the points we came up with are represented in this graph.<BR>\n" );
document.write( "Points: (-2,-3); (0,-2); (2,-1); (8,2); and (4,0).<BR>\n" );
document.write( "Notice our intercepts: (0,-2) and (4,0)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph+%28400%2C+400%2C+-10%2C+10%2C+-5%2C+5%2C+%28x%2F2%29-2%29 ALIGN=MIDDLE  ALT=\"graph+%28400%2C+400%2C+-10%2C+10%2C+-5%2C+5%2C+%28x%2F2%29-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );