#### 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
$