Final answer:
The equation of a line perpendicular to the x-axis that goes through the point (2, -7) is x = 2.
Step-by-step explanation:
The question asks for the equation of a line perpendicular to the x-axis that passes through the point (2, -7). A line perpendicular to the x-axis is a vertical line. Since all points on this line will have the same x-coordinate, the equation for the line takes the form x = a, where a is the x-coordinate of the point through which the line passes. So, the equation of the line is x = 2.