document.write( "Question 1179238: A line has an equation of x + 5y - 4 = 0. If the line x - ky - 17 = 0 makes an angle of 45 degrees counter-clockwise from the line x + 5y - 4 = 0, find
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Algebra.Com's Answer #808766 by mananth(16946) $\"\"$ $\"About$

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x - ky - 17 = 0 makes an angle of 45 degrees counter-clockwise from the line x + 5y - 4 = 0\r
\n" ); document.write( "\n" ); document.write( "one line is 5y=-x+4\r
\n" ); document.write( "\n" ); document.write( "y = -x/5 +4/5 slope = -(1/5)\r
\n" ); document.write( "\n" ); document.write( "Other line x-ky -17=0\r
\n" ); document.write( "\n" ); document.write( "ky=x-17\r
\n" ); document.write( "\n" ); document.write( "y= x/k =17/k\r
\n" ); document.write( "\n" ); document.write( "slopes are (-1/5) , (1/k)\r
\n" ); document.write( "\n" ); document.write( " $\"tan%28theta%29+=%28+m1-m2%29%2F%281%2Bm1m2%29\"$ \r
\n" ); document.write( "\n" ); document.write( "m1-m2= (1/k -(-1/5))\r
\n" ); document.write( "\n" ); document.write( "= (k+5)/5k------------N\r
\n" ); document.write( "\n" ); document.write( "1+m1m2 = 1+ (-1/5k) = (5k-1)/5k-----------D\r
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\n" ); document.write( "\n" ); document.write( "N/D =1 = ((k+5)/5k) / ((5k-1)/5k))\r
\n" ); document.write( "\n" ); document.write( "1= k+5/ 5k-1\r
\n" ); document.write( "\n" ); document.write( "5k-1= k+5\r
\n" ); document.write( "\n" ); document.write( "4k =6
\n" ); document.write( "k=2/3
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