Final answer:
The equation of a line that is parallel to the line x = 9 and passes through the point (0, 2) is x = 0, as the given line is vertical and parallel lines have the same slope.
Step-by-step explanation:
The student is asking for the equation of a line that is parallel to the line x = 9 and passes through the point (0, 2). The line x = 9 is a vertical line, so a parallel line to this would also have to be vertical. Vertical lines have the general equation x = a, where a is the x-coordinate of the point through which they pass.
Since we want the line to pass through the point (0, 2), the equation of our line will be x = 0. This is because the x-coordinate of the given point is 0, which directly provides us the equation.
Therefore, the equation of the line parallel to x = 9 that passes through the point (0, 2) is simply x = 0.