we know that
The equation in point slope form is equal to
y-y1=m(x-x1)
step 1
Find the slope
we have the points (-4,1) and (4,-3)
m=(-3-1)/(4+4)
m=-4/8
m=-1/2
step 2
Find the equation
we have
m=-1/2
(x1,y1)=(-4,1)
substitute
y-1=-(1/2)(x+4) ------> equation in ponit slope form
with the point (4,-3)
the equation is
y+3=-(1/2)(x-4)