Final answer:
The point (9, 1) is a solution to the equation y = x - 8 because when we substitute the x-value (9) into the equation, we obtain the y-value (1) which matches the y-coordinate of the given point.
Step-by-step explanation:
The question asks if the point (9, 1) is a solution to the equation y = x - 8. To check this, we substitute the x-value of the point into the equation and see if the y-value we obtain is the same as the y-value of the point.
To check the student's solution:
- Substitute 9 for x in the equation: y = 9 - 8.
- Calculate y: y = 1.
Since the calculated y-value is indeed 1, which matches the y-coordinate of the point (9, 1), the point is indeed a solution to the equation. So, the answer is yes.