document.write( "Question 166680: what is the slope to x+3y=13 and the slope to 2x-y=-9? \n" ); document.write( "

Algebra.Com's Answer #122836 by jim_thompson5910(35256) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"x%2B3y=13\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"3y=13-x\"$ Subtract $\"x\"$ from both sides.\r
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\n" ); document.write( "\n" ); document.write( " $\"3y=-x%2B13\"$ Rearrange the terms.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%28-x%2B13%29%2F%283%29\"$ Divide both sides by $\"3\"$ to isolate y.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%28%28-1%29%2F%283%29%29x%2B%2813%29%2F%283%29\"$ Break up the fraction.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=-%281%2F3%29x%2B13%2F3\"$ Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So the equation $\"y=-%281%2F3%29x%2B13%2F3\"$ is now in slope intercept form $\"y=mx%2Bb\"$ where the slope is $\"m=-1%2F3\"$ and the y-intercept is $\"b=13%2F3\"$ note: the y-intercept is the point

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\n" ); document.write( "\n" ); document.write( "So the slope is $\"m=-1%2F3\"$ \r
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\n" ); document.write( "\n" ); document.write( "# 2\r
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\n" ); document.write( "\n" ); document.write( " $\"2x-y=-9\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"-y=-9-2x\"$ Subtract $\"2x\"$ from both sides.\r
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\n" ); document.write( "\n" ); document.write( " $\"-y=-2x-9\"$ Rearrange the terms.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%28-2x-9%29%2F%28-1%29\"$ Divide both sides by $\"-1\"$ to isolate y.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%28%28-2%29%2F%28-1%29%29x%2B%28-9%29%2F%28-1%29\"$ Break up the fraction.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=2x%2B9\"$ Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So the equation $\"y=2x%2B9\"$ is now in slope intercept form $\"y=mx%2Bb\"$ where the slope is $\"m=2\"$ and the y-intercept is $\"b=9\"$ note: the y-intercept is the point

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\n" ); document.write( "\n" ); document.write( "So the slope is $\"m=2\"$
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