document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=273601>Question 273601</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I properly graph this equation on algebra.com? x-4y=-8 \r<BR>\n" );
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document.write( "I know that rise=2 run=8 and slope=1/4 \r<BR>\n" );
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document.write( "My original task was to find the rise, run, and slope and then write in standard form after looking at a graph. that had a line on it. \r<BR>\n" );
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document.write( "I understand that Ax+By=C\r<BR>\n" );
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document.write( "I don't quite understand what Ax is, Bx, or C. The original problem didn't have the standard form answer of x-4y=-8, that was in the back of my text book.\r<BR>\n" );
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document.write( "I have included what I thought was the correct graph, but all it did was draw a horizontal line.\r<BR>\n" );
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document.write( "So, if you can show me what I am missing in the computer formula I would appreciate it. I would love for someone to explain how to get the standard form out of the given information\r<BR>\n" );
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document.write( "graph( 300, 200, -6, 5, -10, 10, x-4y=-8) \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 #199817 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=199817\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> standard for of the equation for a line is Ax + By = C\r<BR>\n" );
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document.write( "A is the coefficient of the x variable.<BR>\n" );
document.write( "B is the coefficient of the y variable.<BR>\n" );
document.write( "C is the constant.\r<BR>\n" );
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document.write( "your equation is:\r<BR>\n" );
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document.write( "x - 4y = -8\r<BR>\n" );
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document.write( "in your equation, which is in standard form, ....\r<BR>\n" );
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document.write( "A = 1<BR>\n" );
document.write( "B = -4<BR>\n" );
document.write( "C = -8\r<BR>\n" );
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document.write( "to graph this equation, you need to solve for y.\r<BR>\n" );
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document.write( "at the same time you will be putting this equation into the slope-intercept form of it.\r<BR>\n" );
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document.write( "subtract x from both sides of this equation to get -4y = -x - 8\r<BR>\n" );
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document.write( "divide both sides of this equation by -4 to get y = (1/4)*x + 2\r<BR>\n" );
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document.write( "the slope intercept form of the equation for a line is y = mx + b where m is the slope and b is the y intercept.\r<BR>\n" );
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document.write( "in your equation, the slope is (1/4) and the y intercept is 2.\r<BR>\n" );
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document.write( "when you graph in algebra.com, you have to solve for y as we just did.\r<BR>\n" );
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document.write( "you then enter ONLY the right side of the equation.   you do not enter the y.\r<BR>\n" );
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document.write( "to graph your equation you would put the following between the starting 3 brackets and the ending 3 brackets.\r<BR>\n" );
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document.write( "                     graph (600,600,-10,10,-10,10,(1/4)*x + 2)\r\n" );
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document.write( "the first 600 is the width of the graph.<BR>\n" );
document.write( "the second 600 is the height of the graph.<BR>\n" );
document.write( "the first -10 is the low end of the x-axis.<BR>\n" );
document.write( "the first 10 is the high end of the x-axis.<BR>\n" );
document.write( "the second -10 is the low end of the y-axis.<BR>\n" );
document.write( "the second 10 is the high end of the y-axis.<BR>\n" );
document.write( "the right side of your equations after you have solved for y goes next.\r<BR>\n" );
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document.write( "here's what the graph of your equation looks like.<BR>\n" );
document.write( "I just took that expression and enclosed it in the brackets.\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-10%2C10%2C-10%2C10%2C%281%2F4%29%2Ax+%2B+2%29 ALIGN=MIDDLE  ALT=\"graph+%28600%2C600%2C-10%2C10%2C-10%2C10%2C%281%2F4%29%2Ax+%2B+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "assuming you were given the equation in slope intercept form to start with, then you were given:\r<BR>\n" );
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document.write( "y = (1/4)x + 2\r<BR>\n" );
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document.write( "to convert this to standard form, you want to get the x and y on the left side of the equation and the constant term on the right side of the equation.\r<BR>\n" );
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document.write( "you would multiply both sides of the equation by 4 to get:\r<BR>\n" );
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document.write( "4y = x + 8\r<BR>\n" );
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document.write( "you would then subtract x from both sides of the equation to get:\r<BR>\n" );
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document.write( "-x + 4y = 8\r<BR>\n" );
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document.write( "that's the standard form of the equation where A = -1 and B = 4 and C = 8\r<BR>\n" );
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document.write( "if you multiply both sides of this equation by -1 you would get:\r<BR>\n" );
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document.write( "x - 4y = -8\r<BR>\n" );
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document.write( "that's the standard form of the equation where A = 1 and B = -4 and C = -8\r<BR>\n" );
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document.write( "the two equations:\r<BR>\n" );
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document.write( "-x + 4y = 8<BR>\n" );
document.write( "x - 4y = -8\r<BR>\n" );
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document.write( "are equivalent.\r<BR>\n" );
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