Final answer:
The set of equations that is perpendicular is B. y = 1/4x - 3 and y = -4x + 2.
Step-by-step explanation:
In order to determine which set of equations is perpendicular, we need to check the slopes of the given equations. Two lines are perpendicular if the product of their slopes is -1. The slopes of the equations in options A, B, C, and D are 3, 1/4, 2, and -2/5, respectively. Let's find the products of the slopes:
A. (3) * (-3) = -9
B. (1/4) * (-4) = -1
C. (2) * (2) = 4
D. (-2/5) * (5/2) = -1
Therefore, the set of equations that is perpendicular is B. y = 1/4x - 3 and y = -4x + 2.