Question 911963
12y=-3x+8


y=(-3x+8)/12


y = (-3/12)x + 8/12


y = (-1/4)x + 2/3


The slope is -1/4


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6y=kx-5


y=(kx-5)/6


y = (k/6)x - 5/6


The slope is k/6


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The two slopes -1/4 and k/6 must multiply to -1 if they are form perpendicular lines


(-1/4)*(k/6) = -1


-k/24 = -1


-k = -1*24


-k = -24


k = 24


So the answer is k = 24