document.write( "Question 345411: how do i graph 2x<3y+6 \n" ); document.write( "
Algebra.Com's Answer #247013 by texttutoring(324)\"\" \"About 
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2x<3y+6\r
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\n" ); document.write( "\n" ); document.write( "Treat the < sign as an equals sign, and rearrange the equation so that it looks like the equation of a line, y=mx+b\r
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\n" ); document.write( "\n" ); document.write( "2x<3y+6\r
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\n" ); document.write( "\n" ); document.write( "Subtract 6 from both sides:\r
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\n" ); document.write( "\n" ); document.write( "2x-6 < 3y\r
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\n" ); document.write( "\n" ); document.write( "Now divide both sides by 3:\r
\n" ); document.write( "\n" ); document.write( "(2x-6)/3 < y
\n" ); document.write( "2x/3 - 6/3 < y
\n" ); document.write( "2x/3 -2 < y\r
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\n" ); document.write( "\n" ); document.write( "So comparing it to the equation of a line, this tells us that the slope is m=2/3 and the y-intercept is b=-2.\r
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\n" ); document.write( "\n" ); document.write( "You can plot this on a graph by plotting the line of y=2x/3 -2, and then shading in the area underneath the line (because we were saying the inequality was showing everything that is less than y).\r
\n" ); document.write( "\n" ); document.write( "Here's a link to Wolfram Alpha's graph of it: http://www.wolframalpha.com/input/?i=2x-6+%3C+3y \n" ); document.write( "
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