document.write( "Question 912856: For what value of k are the graphs of 12y=-3x+8 and 6y=kx-5 perpendicular? Thanks for your help. \n" ); document.write( "

Algebra.Com's Answer #554111 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Convert to slope intercept form.
\n" ); document.write( "Perpendicular slopes are negative reciprocals.
\n" ); document.write( " $\"12y=-3x%2B8\"$
\n" ); document.write( " $\"y=-%281%2F4%29x%2B2%2F3\"$
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\n" ); document.write( " $\"6y=kx-5\"$
\n" ); document.write( " $\"y=%28k%2F6%29x-5%2F6\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"-%281%2F4%29%28k%2F6%29=-1\"$
\n" ); document.write( " $\"k%2F24=1\"$
\n" ); document.write( " $\"highlight%28k=24%29\"$
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\n" ); document.write( " $\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-%281%2F4%29x%2B2%2F3%2C4x-5%2F6%29\"$
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