Final answer:
The equation of the line passing through (-2,-7) and parallel to y = -2 is y = -2x - 11.
Step-by-step explanation:
To find the equation of a line that is parallel to a given line and passes through a given point, you need to use the same slope as the given line. Since the given line has a slope of -2, the parallel line will also have a slope of -2. Using the point-slope form of the equation, y - y1 = m(x - x1), where (x1, y1) is the given point, we can substitute the values and solve for the equation:
y - (-7) = -2(x - (-2))
y + 7 = -2x - 4
y = -2x - 11