Final answer:
The equation of a line perpendicular to x = -7 and passing through the point (-3, -8) is y = -8, which is a horizontal line with a slope of 0.
Step-by-step explanation:
The question involves finding the equation of a line perpendicular to the given vertical line x = -7 and passing through the point (-3, -8). A line perpendicular to a vertical line is a horizontal line. Horizontal lines have a slope of 0. Therefore, the equation of the line we are looking for will have the form y = b, where b is the y-coordinate of the point through which the line passes. Since the line must pass through (-3, -8), the equation of the line is simply y=-8.