document.write( "Question 121238: Find the value of k so that the line (2+k)x + (2-k)y=15 has slope 3/2 \n" ); document.write( "

Algebra.Com's Answer #89015 by Nate(3500) $\"\"$ $\"About$

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(2 + k)x + (2 - k)y = 15
\n" ); document.write( "(2 - k)y = -(2 + k)x + 15
\n" ); document.write( "y = -(2 + k)x/(2 - k) + 15/(2 - k)
\n" ); document.write( "y = -(2 + k)x/(2 - k) + 15/(2 - k)
\n" ); document.write( "-(2 + k)/(2 - k) = 3/2
\n" ); document.write( "-2(2 + k) = 3(2 - k)
\n" ); document.write( "-4 - 2k = 6 - 3k
\n" ); document.write( "k = 10
\n" ); document.write( "Check:
\n" ); document.write( "(2 + k)x + (2 - k)y = 15
\n" ); document.write( "(2 + 10)x + (2 - 10)y = 15
\n" ); document.write( "12x - 8y = 15
\n" ); document.write( "-8y = -12x + 15
\n" ); document.write( "y = 12x/8 - 15/8
\n" ); document.write( "y = 3x/2 - 15/8
\n" ); document.write( "m = 3/2 \n" ); document.write( "

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