document.write( "Question 1137656: Find the shortest distance from the given point (-3,0) to the given line x-y=-10 \n" ); document.write( "

Algebra.Com's Answer #755510 by ikleyn(52794) $\"\"$ $\"About$

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document.write( "You want to find the distance from the point (-3,0) to the given straight line  x - y + 10 = 0.\r\n" );
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document.write( "There is a remarkable formula which ideally suits for this need.\r\n" );
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document.write( "    Let the straight line in a coordinate plane is defined in terms of its linear equation \r\n" );
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document.write( "         a*x + b*y + c = 0,\r\n" );
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document.write( "    where \"a\", \"b\" and \"c\" are real numbers, and let P = (,) be the point in the coordinate plane. \r\n" );
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document.write( "    Then the distance from the point P to the straight line is equal to\r\n" );
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document.write( "        d = .\r\n" );
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document.write( "Regarding this formula, see the lesson\r\n" );
document.write( "    The distance from a point to a straight line in a coordinate plane\r\n" );
document.write( "in this site.\r\n" );
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document.write( "Substitute the given data  a= 1, b= -1, c= 10,   = -3,  = 0  into the formula to get the distance under the question\r\n" );
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document.write( "     =  =  = 4.95 units  (approximately).\r\n" );
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document.write( "Answer.  The distance under the question is 4.95 units  (approximately).\r\n" );
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