document.write( "Question 1191647: The line segment drawn from A(k, 3) to B(4, 1) is perpendicular to the segment drawn from C(-5, -6) to D(4, 1). Find the value of k. \n" ); document.write( "

Algebra.Com's Answer #823451 by ikleyn(52784) $\"\"$ $\"About$

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\n" ); document.write( "The line segment drawn from A(k, 3) to B(4, 1) is perpendicular to the segment
\n" ); document.write( "drawn from C(-5, -6) to D(4, 1). Find the value of k.
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document.write( "Segment  CD  has the slope   =  = .\r\n" );
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document.write( "Segment  AB  has the slope   =  = \r\n" );
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document.write( "In order for the segments be perpendicular, the slopes must be negative reciprocal   = - ,  or\r\n" );
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document.write( "     = .\r\n" );
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document.write( "From this proportion\r\n" );
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document.write( "    2*7 = 9*(4-k),\r\n" );
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document.write( "or\r\n" );
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document.write( "    14 = 36 - 9k\r\n" );
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document.write( "    9k = 36 - 14\r\n" );
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document.write( "    9k =    22\r\n" );
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document.write( "     k =  = 2 .    ANSWER\r\n" );
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