step 1
Find out the slope of the given line
y=-2x+5
the slope is m=-2
Remember that
If two lines are parallel, then their slopes are equal
that means
the slope of the parallel line is m=-2 too
step 2
Find out the equation of the line in slope-intercept form
y=mx+b
we have
m=-2
point (-4,-2)
substitute and solve for b
-2=-2(-4)+b
-2=8+b
b=-10
therefore
the answer is
y=-2x-10