Question 912856
Convert to slope intercept form.
Perpendicular slopes are negative reciprocals.
{{{12y=-3x+8}}}
{{{y=-(1/4)x+2/3}}}
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{{{6y=kx-5}}}
{{{y=(k/6)x-5/6}}}
So then,
{{{-(1/4)(k/6)=-1}}}
{{{k/24=1}}}
{{{highlight(k=24)}}}
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{{{graph(300,300,-10,10,-10,10,-(1/4)x+2/3,4x-5/6)}}}