What the correct answer for this question?

a

Step-by-step explanation:

If a line is parallel to the given line, then you know it must have the same gradient, because that is what parallel means. So the incline must also be -2.

From this alone, you now only have to choose between answers a and b.

The parallel line had a general form of y = -2x + b

b is the intercept with the y-axis

substitute the point that is on the parallel line and solve for b

y = -2x + b

b = y + 2x

substitute the values of (4, 0)

b = 0 + 2(4)

b = 8

y = -2x + 8 which is answer a.