document.write( "Question 1203671: Find C such that (10,-1), (-4,10), and (C,-6) lie on a line. What is the C value? \n" ); document.write( "

Algebra.Com's Answer #839420 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Find C such that (10,-1), (-4,10), and (C,-6) lie on a line. What is the C value?
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document.write( "Write an equation saying that the slope of the segment PQ, where P= (10,-1), Q= (-4,10),\r\n" );
document.write( "is the same as the slope of the segment QR, where R= (C,-6).\r\n" );
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document.write( "The slope of the segment PQ is   =  = .\r\n" );
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document.write( "The slope of the segment QR is   = .\r\n" );
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document.write( "So, the equation is\r\n" );
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document.write( "     = .\r\n" );
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document.write( "It implies\r\n" );
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document.write( "     = \r\n" );
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document.write( "    16*14 = 11*(C+4)\r\n" );
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document.write( "     224  = 11C + 44\r\n" );
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document.write( "     224 - 44 = 11C\r\n" );
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document.write( "        180   = 11C\r\n" );
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document.write( "         C    =  = 16.    ANSWER\r\n" );
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