A line perpendicular to y = (1/4)x+3 will have slope -4.
This is because when you multiply the slopes of the original line and the perpendicular line, you get -1. (1/4)(-4)=-1
The equation of the perpendicular line is
y=-4x+b
This line pases through (0,6)
6=-4(0)+b
b=6
y=-4x+6 is the line