document.write( "Question 640868: HELP!\r
\n" ); document.write( "\n" ); document.write( "Find an equation of the line containing the given pair of points. (2,4) and (6,6)\r
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Algebra.Com's Answer #403460 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
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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=2\" and \"y%5B1%5D=4\".\r
\n" ); document.write( "\n" ); document.write( "Also, is the second point . So this means that \"x%5B2%5D=6\" and \"y%5B2%5D=6\".\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=%286-4%29%2F%286-2%29\" Plug in \"y%5B2%5D=6\", \"y%5B1%5D=4\", \"x%5B2%5D=6\", and \"x%5B1%5D=2\"\r
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\n" ); document.write( "\n" ); document.write( "\"m=%282%29%2F%286-2%29\" Subtract \"4\" from \"6\" to get \"2\"\r
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\n" ); document.write( "\n" ); document.write( "\"m=%282%29%2F%284%29\" Subtract \"2\" from \"6\" to get \"4\"\r
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\n" ); document.write( "\n" ); document.write( "\"m=1%2F2\" 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=1%2F2\"\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-4=%281%2F2%29%28x-2%29\" Plug in \"m=1%2F2\", \"x%5B1%5D=2\", and \"y%5B1%5D=4\"\r
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\n" ); document.write( "\n" ); document.write( "\"y-4=%281%2F2%29x%2B%281%2F2%29%28-2%29\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"y-4=%281%2F2%29x-1\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"y=%281%2F2%29x-1%2B4\" Add 4 to both sides. \r
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\n" ); document.write( "\n" ); document.write( "\"y=%281%2F2%29x%2B3\" Combine like terms. \r
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\n" ); document.write( "\n" ); document.write( "So the equation that goes through the points and is \"y=%281%2F2%29x%2B3\"\r
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\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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\n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r
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