document.write( "Question 514808: find the equation of the line containing the given pair of points. (-3,-6) and (-7,-1) \n" ); document.write( "
Algebra.Com's Answer #343577 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "First let's find the slope of the line through the points and \r
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\n" ); document.write( "\n" ); document.write( "Note: is the first point . So this means that \"x%5B1%5D=-3\" and \"y%5B1%5D=-6\".\r
\n" ); document.write( "\n" ); document.write( "Also, is the second point . So this means that \"x%5B2%5D=-7\" and \"y%5B2%5D=-1\".\r
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\n" ); document.write( "\n" ); document.write( "\"m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\" Start with the slope formula.\r
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\n" ); document.write( "\n" ); document.write( "\"m=%28-1--6%29%2F%28-7--3%29\" Plug in \"y%5B2%5D=-1\", \"y%5B1%5D=-6\", \"x%5B2%5D=-7\", and \"x%5B1%5D=-3\"\r
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\n" ); document.write( "\n" ); document.write( "\"m=%285%29%2F%28-7--3%29\" Subtract \"-6\" from \"-1\" to get \"5\"\r
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\n" ); document.write( "\n" ); document.write( "\"m=%285%29%2F%28-4%29\" Subtract \"-3\" from \"-7\" to get \"-4\"\r
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\n" ); document.write( "\n" ); document.write( "\"m=-5%2F4\" Reduce\r
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\n" ); document.write( "\n" ); document.write( "So the slope of the line that goes through the points and is \"m=-5%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "Now let's use the point slope formula:\r
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\n" ); document.write( "\n" ); document.write( "\"y-y%5B1%5D=m%28x-x%5B1%5D%29\" Start with the point slope formula\r
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\n" ); document.write( "\n" ); document.write( "\"y--6=%28-5%2F4%29%28x--3%29\" Plug in \"m=-5%2F4\", \"x%5B1%5D=-3\", and \"y%5B1%5D=-6\"\r
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\n" ); document.write( "\n" ); document.write( "\"y--6=%28-5%2F4%29%28x%2B3%29\" Rewrite \"x--3\" as \"x%2B3\"\r
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\n" ); document.write( "\n" ); document.write( "\"y%2B6=%28-5%2F4%29%28x%2B3%29\" Rewrite \"y--6\" as \"y%2B6\"\r
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\n" ); document.write( "\n" ); document.write( "\"y%2B6=%28-5%2F4%29x%2B%28-5%2F4%29%283%29\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"y%2B6=%28-5%2F4%29x-15%2F4\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"y=%28-5%2F4%29x-15%2F4-6\" Subtract 6 from both sides. \r
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\n" ); document.write( "\n" ); document.write( "\"y=%28-5%2F4%29x-39%2F4\" Combine like terms.
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