Question

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)

Answer 1

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!