document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=270145>Question 270145</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how can i graph a line with 3x+4y=12? help please! thanks in advance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #197975 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=197975\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your equation is:\r<BR>\n" );
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document.write( "3x+4y=12\r<BR>\n" );
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document.write( "you have to solve for y to get:\r<BR>\n" );
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document.write( "y = (12-3x)/4\r<BR>\n" );
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document.write( "now you can graph the equation.\r<BR>\n" );
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document.write( "your graph looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-5%2C5%2C-5%2C5%2C%2812-3x%29%2F4%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-5%2C5%2C-5%2C5%2C%2812-3x%29%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "note that the slope intercept form of a linear equation is y = mx + b where m is the slope and b is the y intercept.\r<BR>\n" );
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document.write( "I just solved for y.\r<BR>\n" );
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document.write( "I can make that equation into the slope intercept form very easily though.\r<BR>\n" );
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document.write( "I gave you the equation of :\r<BR>\n" );
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document.write( "y = (12-3x)/4\r<BR>\n" );
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document.write( "I divide this equation out to get:\r<BR>\n" );
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document.write( "y = (12/4) - (3x/4)\r<BR>\n" );
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document.write( "I simplify to get:\r<BR>\n" );
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document.write( "y = 3 - (3/4)*x\r<BR>\n" );
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document.write( "I rearrange the terms on the right side of the equation to get:\r<BR>\n" );
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document.write( "y = -(3/4)*x + 3\r<BR>\n" );
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document.write( "The slope is -(3/4) and the y intercept is 3\r<BR>\n" );
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document.write( "If you look at the graph, you will see that when x = 0, y = 3.  That's your y-intercept point.\r<BR>\n" );
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document.write( "You will also see that when x move 4 units in the positive direction (from x = 0 to x = 4), y move 3 units in the negative direction (from y = 3 to y = 0).\r<BR>\n" );
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document.write( "That's your slope (-3/4) which is the change in y divided by the change in x\r<BR>\n" );
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