document.write( "Question 1087934: Find an equation of the the line satisfying the given conditions. Through (4, 9); perpendicular to 6x + 8y = 96 \n" ); document.write( "

Algebra.Com's Answer #702229 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Reverse coefficients at x and y and change the sign one time.\r\n" );
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document.write( "    (It is the way how to construct the equation of perpendicular line).\r\n" );
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document.write( "You will get the equation\r\n" );
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document.write( "    8x - 6y = c.   (1)\r\n" );
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document.write( "Now find the constant \"c\" under the condition that the coordinates of the \"through\" point satisfy the equation (1).\r\n" );
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document.write( "Simply substitute x = 4 and y = 9 into this equation (1) and find\r\n" );
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document.write( "c = 8*4 - 6*9 = 32 - 54 = -22.\r\n" );
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document.write( "Answer. The equation is 8x - 6y = -22.\r\n" );
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