Question 432083
When you multiply the slopes of two lines perpendicular lines, the result is -1.
(this is the "negative reciprocal")
.
From:
y=-2/3x-4
since it is in "slope-intercept" form we immediately see that the slope is:
-2/3
So, a line perpendicular must have a slope (m) such that:
(-2/3)m = -1
(2/3)m = 1
(2)m = 3
m = 3/2 
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So, the answer is 3/2