document.write( "Question 1128794: How far is the point (4,1) from the line y= -2x+3? \n" ); document.write( "
Algebra.Com's Answer #745306 by ikleyn(52781)\"\" \"About 
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document.write( "Use the general formula:\r\n" );
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document.write( "    the distance from the point (p,q) to a straight line ax + by + c = 0  is\r\n" );
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document.write( "              d = \"abs%28ap+%2B+bq+%2Bc%29%2Fsqrt%28a%5E2+%2B+b%5E2%29\".\r\n" );
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document.write( "Regarding this formula, see the lesson  The distance from a point to a straight line in a coordinate plane  in this site.\r\n" );
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document.write( "In your case, the equation of the straight line is 2x + y - 3 = 0, so the distance is\r\n" );
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document.write( "    d = \"abs%282%2A4+%2B+1%2A1+-+3%29%2Fsqrt%283%5E2%2B1%5E2%29\" = \"6%2Fsqrt%2810%29\" = \"%286%2Asqrt%2810%29%29%2F10\" ~ 1.897367 (approximately).\r\n" );
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