document.write( "Question 1094460: What is the value of k if point P(k, k square root 3 ) is 4 units from the line 5x+3y=12?
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Algebra.Com's Answer #709029 by ikleyn(52819) $\"\"$ $\"About$

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document.write( "There is a remarkable formula for the distance from the point (p,q) to the line ax + by + c = 0 in a coordinate plane.\r\n" );
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document.write( "This formula is\r\n" );
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document.write( "    d = .\r\n" );
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document.write( "    (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 our case  p = k,  q = , a= 5, b= 3, c= -12.\r\n" );
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document.write( "So,  d =  = ,\r\n" );
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document.write( "and your equation for the value of \"k\" is \r\n" );
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document.write( " = 4.\r\n" );
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document.write( "Simplify it\r\n" );
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document.write( " = .\r\n" );
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document.write( "There are TWO solutions for k:\r\n" );
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document.write( "1)  k = ,   and\r\n" );
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document.write( "2)  k = .\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you want to know how this formula was derived, look into the referred lesson.\r
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