through:(-4,3), Parallel to y = -1/4×
step 1
If two lines are parallel, then their slopes are equal
that means
the slope of teh parallel line is equal to
m=-1/4
step 2
Find the equation of the line in slope intercept form
y=mx+b
we have
m=-1/4
point (-4,3)
substitute
3=(-1/4)(-4)+b
solve for b
3=1+b
b=2
therefore
the equation is
y=(-1/4)x+2