document.write( "Question 1106794: the point (2,-5) is a vertex of square one whose sides lies on the line x-2y=7 calculate the area of square \n" ); document.write( "

Algebra.Com's Answer #721779 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Notice that the point (2,-5) does not lie on the given line, because\r\n" );
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document.write( "2 - 2*(-5) = 2 + 10 = 12   IS NOT EQUAL  to 7.\r\n" );
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document.write( "Hence, we have the line, given by the equation, and a point outside this line.\r\n" );
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document.write( "Clearly, the measure of the side of the square is equal to the distance from the given point to the given line.\r\n" );
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document.write( "To find this distance, you can use the general formula\r\n" );
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document.write( "d = .     (*)\r\n" );
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document.write( "This formula gives the distance from the point (p,q) in the coordinate plane to the line whose equation is  ax + by + c = 0.\r\n" );
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document.write( "In our case,  d =  =  =  = .\r\n" );
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document.write( "Thus we determined that the square side is  units long.\r\n" );
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document.write( "Then the area of the square is   = 5.\r\n" );
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\n" ); document.write( "Regarding the formula (*), see the lesson\r
\n" ); document.write( "\n" ); document.write( " - The distance from a point to a straight line in a coordinate plane\r
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