document.write( "Question 779455: Can you pls help me find an equation of the line passing through the indicated pairs of points. I also need to expres my final answer in slope intercept form.\r
\n" ); document.write( "\n" ); document.write( "Here is the problem: ((((1/2,3/5) and (- 1/4,2/5)))) \n" ); document.write( "
Algebra.Com's Answer #475260 by AnlytcPhil(1810)\"\" \"About 
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document.write( " ((((1/2,3/5) and (- 1/4,2/5))))\r\n" );
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document.write( "First we use the \r\n" );
document.write( "slope formula:\r\n" );
document.write( "m = \"%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"\r\n" );
document.write( "where (x1,y1) = (\"1%2F2\",\"3%2F5\")\r\n" );
document.write( "and where (x2,y2) = (\"-1%2F4\",\"2%2F5\")\r\n" );
document.write( "Substituting in the slope formula\r\n" );
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document.write( "m = \"%28%282%2F5%29-%283%2F5%29%29%2F%28%28-1%2F4%29-%281%2F2%29%29\" = \"%28-1%2F5%29%2F%28%28-1%2F4%29-%282%2F4%29%29\" = \"%28-1%2F5%29%2F%28-3%2F4%29\" = \"%281%2F5%29%2F%283%2F4%29\" = \"1%2F5\"÷\"3%2F4\" = \"1%2F5\"·\"4%2F3\" = \"4%2F15\"  \r\n" );
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document.write( "Next we use the point-slope formula:\r\n" );
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document.write( "y - y1 = m(x - x1) \r\n" );
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document.write( "where (x1,y1) = (\"1%2F2\",\"3%2F5\")\r\n" );
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document.write( "y - \"3%2F5\" = \"4%2F15\"(x - \"1%2F2\")\r\n" );
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document.write( "Now we solve for y:\r\n" );
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document.write( "Distribute on the right:\r\n" );
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document.write( "y - \"3%2F5\" = \"4%2F15\"x - \"4%2F15\"·\"1%2F2\"\r\n" );
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document.write( "              \"2\"\r\n" );
document.write( "y - \"3%2F5\" = \"4%2F15\"x - \"cross%284%29%2F15\"·\"1%2Fcross%282%29\"\r\n" );
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document.write( "y - \"3%2F5\" = \"4%2F15\"x - \"2%2F15\"\r\n" );
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document.write( "Add \"3%2F5\" to both sides:\r\n" );
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document.write( "y = \"4%2F15\"x - \"2%2F15\" + \"3%2F5\" \r\n" );
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document.write( "The least common denominator for the last two terms is 15.\r\n" );
document.write( "So we write \"3%2F5\" as \"9%2F15\"\r\n" );
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document.write( "y = \"4%2F15\"x - \"2%2F15\" + \"9%2F15\"\r\n" );
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document.write( "y = \"4%2F15\"x + \"7%2F15\"  \r\n" );
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document.write( "Edwin

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