Final answer:
The equation of the line perpendicular to y = -7 and passing through the point (-3,-8) is x = -3.
Step-by-step explanation:
The student is asking for the equation of a line that is perpendicular to another given line, y = -7, and passes through a specific point, (-3,-8). First, we need to understand that the line y = -7 is a horizontal line, therefore a line perpendicular to it will be a vertical line. Vertical lines have an undefined slope and are written in the form of x = a constant. Since our line must pass through the point (-3,-8), the equation of our perpendicular line is simply x = -3.