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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 :

Here, Original Equation: y = -2x - 5
Compare it with, y = mx + b
So, Slope(m) = -2
Parallel line slope = -2  [ Same ]

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

In short, Your Answer would be Option B

Hope this helps!