document.write( "Question 1185927: Reduce the equation 4x + 3y + 20 = 0 to the normal form and find the distance of the line from the origin \n" ); document.write( "

Algebra.Com's Answer #816792 by ikleyn(53765) $\"\"$ $\"About$

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\n" ); document.write( "Reduce the equation 4x + 3y + 20 = 0 to the normal form and find the distance of the line from the origin
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document.write( "There is a remarkable formula to calculate the distance from a given point to a given straight line in a coordinate plane.\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" );
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document.write( "Your straight line is 4x + 3y + 20 = 0.\r\n" );
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document.write( "Substitute the given data  a= 4, b= 3, c= 20,   = 0,  = 0  into the formula to get the distance under the question\r\n" );
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document.write( "     =  =  = 4.     ANSWER.\r\n" );
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document.write( "Answer.  The distance from the line to the origin is 4 units.\r\n" );
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