document.write( "Question 859827: find the distance from (-6,-5) to the line defined by y = -2x - 2. Express as a radical or number rounded to the nearest hundredth, is the question. can you tell me how to work this out to get the right answer and help me solve it asap please and thank you. \n" ); document.write( "
Algebra.Com's Answer #517983 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The perpendicular distance from the point \r\n" );
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document.write( "(x1,y1)\r\n" );
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document.write( "to the line \r\n" );
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document.write( "Ax + By + C = 0 is\r\n" );
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document.write( "d = \"abs%28%28Ax%5B1%5D%2BBy%5B1%5D%2BC%29%2Fsqrt%28A%5E2%2BB%5E2%29%29\"\r\n" );
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document.write( "In your case, (x1,y1) = (-6,-5)\r\n" );
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document.write( "And the line is\r\n" );
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document.write( " y = -2x - 2.\r\n" );
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document.write( "but we must first get it in the form\r\n" );
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document.write( "Ax + By + C = 0\r\n" );
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document.write( " y = -2x - 2\r\n" );
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document.write( "2x + y + 2 = 0\r\n" );
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document.write( "So A = 2, B = 1, C = 2, x1 = -6, y1 = -5.\r\n" );
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document.write( "d = \"abs%28%28Ax%5B1%5D%2BBy%5B1%5D%2BC%29%2Fsqrt%28A%5E2%2BB%5E2%29%29\"\r\n" );
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document.write( "d = \"abs%28%282%28-6%29%2B1%28-5%29%2B2%29%2Fsqrt%282%5E2%2B1%5E2%29%29\"\r\n" );
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document.write( "d = \"abs%28%28-12-5%2B2%29%2Fsqrt%284%2B1%29%29\"\r\n" );
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document.write( "d = \"abs%28%28-15%29%2Fsqrt%285%29%29\"\r\n" );
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document.write( "d = \"%2815%29%2Fsqrt%285%29\"\r\n" );
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document.write( "Rationalize the denominator:\r\n" );
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document.write( "d = \"%2815%2Fsqrt%285%29%29%28sqrt%285%29%2Fsqrt%285%29%29\"\r\n" );
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document.write( "d = \"%2815sqrt%285%29%29%2F5\"\r\n" );
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document.write( "d = \"3sqrt%285%29\"\r\n" );
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document.write( "Edwin
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