document.write( "Question 1147329: Find an equation of the line that contains the point (-5,2) and is perpendicular to the line 5x+10y=7 \n" ); document.write( "

Algebra.Com's Answer #768673 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "The line perpendicular to 5x+10y = 7  has an equation  \r\n" );
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document.write( "    10x-5y = c,     (1)\r\n" );
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document.write( "where \"c\" is some constant, whose value is unknown right now and should be determined from the fact,\r\n" );
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document.write( "that the point (-5,2) belongs to the line (1).\r\n" );
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document.write( "For it, substitute the coordinate values of the point  x= -5,  y= 2 into equation (1).\r\n" );
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document.write( "You will get\r\n" );
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document.write( "    10*(-5) - 5*2 = c = -50 - 10 = -60.\r\n" );
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document.write( "Thus your equation is\r\n" );
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document.write( "    10x - 5y = -60,  or, equivalently,\r\n" );
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document.write( "    2x  -  y = -12.               ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "The final equation in the post by @josgarithmetic \" 2x - y = -6\" is INCORRECT.\r
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\n" ); document.write( "\n" ); document.write( " // After my post, he just fixed it.\r
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