Question

the equation of the line passing through the point (-2, 4) and perpendicular to y = -one halfx + 4

Answer 1

when two lines are perpendicular their slopes are related as
m1 = -1/m2
here you have
y = -one halfx + 4
the slope of this line is
-one half = -1/2 = m1
as m1 = -1/m2
thus -1/2 = -1/m2
now find m2

Answer 2

after you get m2 use point slope form to get that equation
point slope form is
y-y1 = m2(x-x1)
here (x1,y1)=(-2,4) and m2 = ......

Answer 3

y=2x+8?

Answer 4

yes exactly you did it man