Final answer:
The question likely contains an error because the two equations y = x - 9 and y = x - 3 have the same slope but different y-intercepts, indicating they are parallel and do not intersect. Therefore, none of the given answers with intersection points would be correct.
Step-by-step explanation:
To find the intersection points of the parabola y = x - 9 and the line y = x - 3, we need to set the equations equal to each other because at the intersection points, the y-values (and x-values) of the parabola and the line are the same. Solving the equation x - 9 = x - 3 gives us no solution since the x terms cancel out, and we are left with -9 ≠ -3, which is a contradiction. This suggests that there was an error in the question, as these two equations represent the same slope and there cannot be distinct intersection points; rather, if the lines were parallel with different constants, they would never intersect, and if the constants were the same, they would be the same line.