document.write( "Question 931563: If the lines 4x-y+2=0 and x+2ky+1=0 are perpendicular to each other, determine the value of k \n" ); document.write( "

Algebra.Com's Answer #569356 by tommyt3rd(5050) $\"\"$ $\"About$

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For a line in the general form, \r
\n" ); document.write( "\n" ); document.write( " $\"Ax%2BBy%2BC=0\"$ , \r
\n" ); document.write( "\n" ); document.write( " $\"m=-A%2FB\"$ \r
\n" ); document.write( "\n" ); document.write( "so \r
\n" ); document.write( "\n" ); document.write( " $\"m%5B1%5D=-4%2F%28-1%29=4\"$ \r
\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "\n" ); document.write( " $\"m%5B2%5D=-1%2F%282k%29\"$ \r
\n" ); document.write( "\n" ); document.write( "we require that
\n" ); document.write( " $\"m%5B1%5Dm%5B2%5D=-1\"$ \r
\n" ); document.write( "\n" ); document.write( "therefore...\r
\n" ); document.write( "\n" ); document.write( " $\"-4%2F%282k%29=-1\"$ \r
\n" ); document.write( "\n" ); document.write( "so\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"k=2\"$
\n" ); document.write( " \n" ); document.write( "

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