document.write( "Question 750885: write the equation of the line passing through the points (5,-2) and (9,-2) \n" ); document.write( "
Algebra.Com's Answer #456866 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=5\" and \"y%5B1%5D=-2\".\r
\n" ); document.write( "\n" ); document.write( "Also, is the second point . So this means that \"x%5B2%5D=9\" and \"y%5B2%5D=-2\".\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=%28-2--2%29%2F%289-5%29\" Plug in \"y%5B2%5D=-2\", \"y%5B1%5D=-2\", \"x%5B2%5D=9\", and \"x%5B1%5D=5\"\r
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\n" ); document.write( "\n" ); document.write( "\"m=%280%29%2F%289-5%29\" Subtract \"-2\" from \"-2\" to get \"0\"\r
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\n" ); document.write( "\n" ); document.write( "\"m=%280%29%2F%284%29\" Subtract \"5\" from \"9\" to get \"4\"\r
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\n" ); document.write( "\n" ); document.write( "\"m=0\" 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=0\"\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--2=0%28x-5%29\" Plug in \"m=0\", \"x%5B1%5D=5\", and \"y%5B1%5D=-2\"\r
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\n" ); document.write( "\n" ); document.write( "\"y%2B2=0%28x-5%29\" Rewrite \"y--2\" as \"y%2B2\"\r
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\n" ); document.write( "\n" ); document.write( "\"y%2B2=0x%2B0%28-5%29\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"y%2B2=0x%2B0\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"y=0x%2B0-2\" Subtract 2 from both sides. \r
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\n" ); document.write( "\n" ); document.write( "\"y=0x-2\" Combine like terms. \r
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\n" ); document.write( "\n" ); document.write( "\"y=-2\" Simplify\r
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\n" ); document.write( "\n" ); document.write( "So the equation that goes through the points and is \"y=-2\"\r
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\n" ); document.write( "\n" ); document.write( " Notice how the graph of \"y=-2\" goes through the points and . So this visually verifies our answer.\r
\n" ); document.write( "\n" ); document.write( " Graph of \"y=-2\" through the points and \r
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