Final answer:
The equation of a line parallel to y=-2 and passing through (-2,-7) is y=-7, since parallel lines have the same slope and y=-2 is a horizontal line with zero slope.
Step-by-step explanation:
To write an equation of a line that is parallel to the given line y = -2 and passes through the point (-2, -7), we need to understand that parallel lines have the same slope. Since y = -2 is a horizontal line, its slope is 0. Therefore, the equation of the line we are looking for will also have a slope of 0 and will be of the form y = b, where b is the y-value of the point it passes through, in this case, -7.
The equation of the line is thus y = -7.