For lines to be parallel, they have to have the SAME slope.
The given line's slope is -2, so the parallel line's slope is also -2.
You will be using the equation:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0)
Since you know the slope, you can plug it in.
y = mx + b
y = -2x + b
To find "b", you can plug in the point (-4, 3) into the equation.
y = -2x + b
3 = -2(-4) + b
3 = 8 + b
-5 = b
Your equation is:
y = -2x - 5
Your answer is B