If a line is parallel to other we can say that both of them have the same angular coeficient
y = ax + b
where a is the angular coeficient
So in our case we have the equation y = 2x - 8 and a = 2
That known we can say that our parallel line will have a equal 2 too
We have the equation (y - yo) = m.(x - xo) where m is equal to a
Now we just have to subs the terms and (xo, yo) is the point that the line go through
(y - 3) = 2.(x - (-1))
y - 3 = 2.(x + 1)
y - 3 = 2.x + 2.1
y - 3 = 2x + 2
y = 2x + 2 + 3
y = 2x + 5