document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82928>Question 82928</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I think I'm getting the hang of it, I used to be terrified of Math, but at the tender age of 48 (smile), I'm making some headway!  \r<BR>\n" );
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document.write( "Could someone please instruct me on how to graph the linear equation 6x-7y=8\r<BR>\n" );
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document.write( "I can't remember if I asked this already..If so please forgive me!!!\r<BR>\n" );
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document.write( "Thank you!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59511 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=59511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 6x - 7y = 8<BR>\n" );
document.write( "The simplest way to graph a linear function would be in y = mx + b form.<BR>\n" );
document.write( "Firstly, we must isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "6x - 7y = 8<BR>\n" );
document.write( "6x - 6x - 7y = 8 - 6x<BR>\n" );
document.write( "-7y = -6x + 8<BR>\n" );
document.write( "-7y/-7 = -6x/-7 + 8/-7<BR>\n" );
document.write( "y = (6/7)x - 8/7<BR>\n" );
document.write( "Next, we define <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "y = (6/7)x - 8/7<BR>\n" );
document.write( "m = 6/7 and b = -8/7<BR>\n" );
document.write( "Ok, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > is known as the y-intercept, the point that is on the y-axis.<BR>\n" );
document.write( "Place a point on -8/7 on the y-axis ... or at (0,-8/7).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" > is known as the slope. Positive means up or right and negative means down or left (good reference would be the axies.) The slope once again is 6/7.<BR>\n" );
document.write( "The numerator (6) determines up or down. +6 means six units up. The denominator (7) determines left or right. +7 means seven units right. Now, you could also have -6 / -7 ... same way, 6 units down and 7 units left.<BR>\n" );
document.write( "~ Proof ~<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C%286%2F7%29x+-+8%2F7%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C%286%2F7%29x+-+8%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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