equation A
we have that
Its a vertical line
x=-4
equation B
Its a vertical line
x=4
equation C
Its a horizontal line
y=4
equation D
Its a horizontal line
y=-2
equation E
we need tow points to calculate the slope
we have the points (-4,4) and (4,-2)
the slope is equal to
m=(-2-4)/(4+4)
m=-6/8
m=-3/4
Find the equation of the line in slope intercept form
y=mx+b
we have
m=-3/4
point (4,-2)
substitute
-2=(-3/4)*(4)+b
solve for b
-2=-3+b
b=1
the equation is
y=(-3/4)x+1