Write an equation for the line parallel to y = –2x – 5 that contains P(–8, 4).

a.

y – 4 = 2(x + 8)

c.

y + 4 = –2(x + 8)

b.

y – 4 = –2(x + 8)

d.

x – 4 = 2(y + 8)

Verified Answer :

y = –2x – 5
slope = -2
equation

y - 4 = -2(x+8)

answer 
b.
y – 4 = –2(x + 8)

Equation: y = -2x - 5
Slope = -2 
Parallel line: = -2  [ Same ]

Now, y - y1 = m(x - x1)
y - 4 = -2(x + 8)

In short, Your Answer would be Option B

Hope this helps!