Because the line is parallel to the line represented by y = -2x - 4, the line has the same slope -2. Thus we can write the line as: $$y = -2x + b$$ Because the line passes through (0,7): $$7=-2\cdot0 +b\\$$ $$\Rightarrow b=7\\$$ Therefore, the line is: $$y = -2x + 7$$