Recognize that parallel lines have the same slope. Then:
Method 1: write y = 2x + c and find c from the given information:
y = 2x + c becomes 0 = 2(-2) + c, so that c = 4. Then y = 2x + 4 (answer)
Method 2: Slope is 2 and a point on the line is (-2,0):
Use the point-slope formula: y - 0 = 2(x+2), or y = 2(x+2), or y=2x+4 (ans)