document.write( "Question 1207373: graph x+4y=20 \n" ); document.write( "
Algebra.Com's Answer #845208 by Theo(13342)\"\" \"About 
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you want to graph x + 4y = 20\r
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\n" ); document.write( "\n" ); document.write( "for most graphing software, you need to solve for y.\r
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\n" ); document.write( "\n" ); document.write( "take x + 4y = 20 and subtract x from both sides and then divide both sides by 4 to get 4y = 20 - x which becomes y = (20 - x) / 4\r
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\n" ); document.write( "\n" ); document.write( "for slope and y-intercept information, you would would want to convert to slope intercept form of y = mx + b, where m is the slope and b is the y-intercept.
\n" ); document.write( "additionally, you may wish to find the x-intercept.\r
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\n" ); document.write( "\n" ); document.write( "the desmos.com software will allow you to graph any of these forms.\r
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\n" ); document.write( "\n" ); document.write( "to convert to slope intercept form, you are basically solving for y and then ordering the terms in descending order of degree.\r
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\n" ); document.write( "\n" ); document.write( "for example, you already solved for y to get y = (20 - x) / 4.
\n" ); document.write( "simplify this to get y = 20/4 - x/4 which can further be simplified to y = 54 - x/4.\r
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\n" ); document.write( "\n" ); document.write( "you then arrange the terms in descending order of degree to get y = -x/4 + 5.\r
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\n" ); document.write( "\n" ); document.write( "all 3 forms are shown on the graph.
\n" ); document.write( "you can see that they all draw the same figure on the graph.
\n" ); document.write( "that's because they're all equivalent to each other.\r
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\n" ); document.write( "\n" ); document.write( "the slope of this equation is -1/4.
\n" ); document.write( "the y-intercept is the value of y when x is equal to 0 which is equal to 5.
\n" ); document.write( "the x-intercept is the value of x when y is equal to 0 which is equal to 20.\r
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