document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=157949>Question 157949</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use the intercepts to graph the equation.\r<BR>\n" );
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document.write( "x+3y=6\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #116413 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=116413\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3y=6 ALIGN=MIDDLE  ALT=\"x%2B3y=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "Let's find the x-intercept\r<BR>\n" );
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document.write( "To find the x-intercept, let y=0 and solve for x:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3%280%29=6 ALIGN=MIDDLE  ALT=\"x%2B3%280%29=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   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=x=6 ALIGN=MIDDLE  ALT=\"x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So the x-intercept is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(6,0\right)\"> (note: the x-intercept will always have a y-coordinate equal to zero)\r<BR>\n" );
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document.write( "------------------\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3y=6 ALIGN=MIDDLE  ALT=\"x%2B3y=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "Now let's find the y-intercept\r<BR>\n" );
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document.write( "To find the y-intercept, let x=0 and solve for y:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2B3y=6 ALIGN=MIDDLE  ALT=\"0%2B3y=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y=6 ALIGN=MIDDLE  ALT=\"3y=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6%2F3 ALIGN=MIDDLE  ALT=\"x=6%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 3\r<BR>\n" );
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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;\" > Reduce\r<BR>\n" );
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document.write( "So the y-intercept is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(0,2\right)\"> (note: the y-intercept will always have a x-coordinate equal to zero)\r<BR>\n" );
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document.write( "So we have these intercepts:\r<BR>\n" );
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document.write( "x-intercept: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(6,0\right)\">\r<BR>\n" );
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document.write( "y-intercept: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(0,2\right)\">\r<BR>\n" );
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document.write( "Now plot the two points <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(6,0\right)\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(0,2\right)\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C+500%2C+-8%2C+8%2C+-4%2C+4%2C%0D%0Agraph%28500%2C+500%2C+-8%2C+8%2C+-4%2C+4%2C0%29%2C%0D%0Acircle%286%2C0%2C0.0888888888888889%29%2C%0D%0Acircle%286%2C0%2C0.118888888888889%29%2C%0D%0A%0D%0Acircle%280%2C2%2C0.0888888888888889%29%2C%0D%0Acircle%280%2C2%2C0.118888888888889%29%0D%0A%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now draw a line through the two points to graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3%2Ay=6 ALIGN=MIDDLE  ALT=\"x%2B3%2Ay=6\"   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=drawing%28500%2C+500%2C+-8%2C+8%2C+-4%2C+4%2C%0D%0Agraph%28500%2C+500%2C+-8%2C+8%2C+-4%2C+4%2C%286-x%29%2F3%29%2C%0D%0Acircle%286%2C0%2C0.0888888888888889%29%2C%0D%0Acircle%286%2C0%2C0.118888888888889%29%2C%0D%0A%0D%0Acircle%280%2C2%2C0.0888888888888889%29%2C%0D%0Acircle%280%2C2%2C0.118888888888889%29%0D%0A%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3%2Ay=6 ALIGN=MIDDLE  ALT=\"x%2B3%2Ay=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > through the x-intercept <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(6,0\right)\"> and the y-intercept <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(0,2\right)\">\r<BR>\n" );
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