document.write( "Question 1150510: Find k so that the line through (7,2k) and (4,-3) is parallel to the line through (1,k+1) and (3,5). \n" ); document.write( "

Algebra.Com's Answer #771870 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "The slope of the first line is\r\n" );
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document.write( "    m1 =  = .\r\n" );
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document.write( "The slope of the second line is\r\n" );
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document.write( "    m2 =  = .\r\n" );
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document.write( "The line are parallel if and only if m1 = m2\r\n" );
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document.write( "     = .\r\n" );
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document.write( "To solve this equation, first cross-multiply; then simplify\r\n" );
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document.write( "    2*(2k+3) = 3*(4-k)\r\n" );
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document.write( "    4k + 6 = 12 - 3k\r\n" );
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document.write( "    4k + 3k = 12 - 6\r\n" );
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document.write( "    7k      = 6\r\n" );
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document.write( "     k      = .      ANSWER\r\n" );
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