The line passing through point (0, 4), perpendicular to the line whose equation is y = -1/4 -x

y = -4x
y = -4x + 4
y = 1/4 x + 4
y = 4x + 4

Perpendicular means having slope that multiplies to -1

y=mx+b
m=slope

given
y=-1x-1/4
slpe=-1
-1 time what=-1
what=1

y=1x+b
find B
passing throug tpoint (0,4)
4=1(0)+b
4=b

y=1x+4
y=x+4 is equation
none of the answers work because of reasons
well, it isn't the first option because it doesn't pass through (0,4)

if you meant y=(-1/4)x then the equation would be y=4x+4
if you meant y=(1/4)x then the equation would be y=-4x+4
depends what you meant initially tho