Answer
$4x+3y =-12$
Work Step by Step
The slope of a perpendicular line is an opposite reciprocal of the given slope. Thus, we find the opposite reciprocal of the slope given. The opposite reciprocal of 3/4 is $-4/3$. Thus, we plug in the given point in point slope form:
$y+4 = -4/3(x-0) \\ y+4=-4/3x \\ 3y+12 = -4x \\ 4x+3y =-12
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