document.write( "Question 777736: Graph 3x+2y+6 \n" ); document.write( "

Algebra.Com's Answer #474258 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
Assuming the equation is 3x+2y = 6\r
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x-intercept

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\n" ); document.write( "\n" ); document.write( "To find the x-intercept, plug in $\"y=0\"$ and solve for x\r
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\n" ); document.write( "\n" ); document.write( " $\"3x%2B2y=6\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"3x%2B2%280%29=6\"$ Plug in $\"y=0\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"3x%2B0=6\"$ Multiply $\"2\"$ and 0 to get 0.\r
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\n" ); document.write( "\n" ); document.write( " $\"3x=6\"$ Simplify.\r
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\n" ); document.write( "\n" ); document.write( " $\"x=%286%29%2F%283%29\"$ Divide both sides by $\"3\"$ to isolate $\"x\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"x=2\"$ Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So the x-intercept is

.\r
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y-intercept

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\n" ); document.write( "\n" ); document.write( "To find the y-intercept, plug in $\"x=0\"$ and solve for y\r
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\n" ); document.write( "\n" ); document.write( " $\"3x%2B2y=6\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"3%280%29%2B2y=6\"$ Plug in $\"x=0\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"0%2B2y=6\"$ Multiply $\"3\"$ and 0 to get 0.\r
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\n" ); document.write( "\n" ); document.write( " $\"2y=6\"$ Simplify.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%286%29%2F%282%29\"$ Divide both sides by $\"2\"$ to isolate $\"y\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=3\"$ Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So the y-intercept is

.\r
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\n" ); document.write( "\n" ); document.write( "Now let's plot the points

and

which are the x and y intercepts respectively.\r
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\r
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\n" ); document.write( "\n" ); document.write( "Now draw a straight line through the plotted points to graph $\"3x%2B2y=6\"$ .\r
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Graph of $\"3x%2B2y=6\"$
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