document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82925>Question 82925</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could I please have help in graphing...Thank you!\r<BR>\n" );
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document.write( "How do I graph this linear equation:     6x-7y=8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59505 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=59505\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-7y=8 ALIGN=MIDDLE  ALT=\"6x-7y=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7y=8-6x ALIGN=MIDDLE  ALT=\"-7y=8-6x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 6x from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%288-6x%29%2F-7 ALIGN=MIDDLE  ALT=\"y=%288-6x%29%2F-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -7\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%286%2F7%29x-8%2F7 ALIGN=MIDDLE  ALT=\"y=%286%2F7%29x-8%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the fraction and rearrange the terms so the x term is first. Now it is in <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;\" > form where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=6%2F7 ALIGN=MIDDLE  ALT=\"m=6%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-8%2F7 ALIGN=MIDDLE  ALT=\"b=-8%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So to graph this line, lets plug in point x=-8\r<BR>\n" );
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document.write( "Let x=-8\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%286%2F7%29%28-8%29-8%2F7 ALIGN=MIDDLE  ALT=\"y=%286%2F7%29%28-8%29-8%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in x=-8\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-48%2F7-8%2F7 ALIGN=MIDDLE  ALT=\"y=-48%2F7-8%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-56%2F7 ALIGN=MIDDLE  ALT=\"y=-56%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-8 ALIGN=MIDDLE  ALT=\"y=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "So we have a point (-8,-8)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A++grid%28+1+%29%2C%0D%0A++blue%28+circle%28+-8%2C-8%2C+.15%2C+1.5+%29%29%2C%0D%0A++blue%28+circle%28+-8%2C-8%2C+.2%2C+1.5+%29+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Here is the point (-8,-8) plotted on a coordinate system\r<BR>\n" );
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document.write( "Let x=6\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%286%2F7%29%286%29-8%2F7 ALIGN=MIDDLE  ALT=\"y=%286%2F7%29%286%29-8%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in x=6\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=36%2F7-8%2F7 ALIGN=MIDDLE  ALT=\"y=36%2F7-8%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=28%2F7 ALIGN=MIDDLE  ALT=\"y=28%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4 ALIGN=MIDDLE  ALT=\"y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "So we have a point (6,4). Add this to our graph\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A++grid%28+1+%29%2C%0D%0A++blue%28+circle%28+6%2C4%2C+.15%2C+1.5+%29%29%2C%0D%0A++blue%28+circle%28+6%2C4%2C+.2%2C+1.5+%29+%29%2C%0D%0A++blue%28+circle%28+-8%2C-8%2C+.15%2C+1.5+%29%29%2C%0D%0A++blue%28+circle%28+-8%2C-8%2C+.2%2C+1.5+%29+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Here are the points (6,4) and (-8,-8) plotted on a coordinate system\r<BR>\n" );
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document.write( "Now draw a straight line through these points\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A++grid%28+1+%29%2C%0D%0A++line%28-36%2C-32%2C20%2C16%29%2C%0D%0A++blue%28+circle%28+6%2C4%2C+.15%2C+1.5+%29%29%2C%0D%0A++blue%28+circle%28+6%2C4%2C+.2%2C+1.5+%29+%29%2C%0D%0A++blue%28+circle%28+-8%2C-8%2C+.15%2C+1.5+%29%29%2C%0D%0A++blue%28+circle%28+-8%2C-8%2C+.2%2C+1.5+%29+%29%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=y=%286%2F7%29x-8%2F7 ALIGN=MIDDLE  ALT=\"y=%286%2F7%29x-8%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > with the points (6,4) and (-8,-8)<BR>\n" );
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