To solve the problem, we will use the given rule $y = -x + 7$ and substitute $x = 1$ into the equation.

Step-by-Step Solution:

1. Start with the equation: $y = -x + 7$
2. Substitute $x = 1$ into the equation: $y = -(1) + 7$
3. Simplify: $y = -1 + 7$
4. Combine terms: $y = 6$

Final Answer:

If $(1, y)$ is on the graph, then $y = 6$.

Would you like a more detailed explanation or have further questions?

Here are some related questions for practice:

1. What is the $y$-value when $x = 0$ using the rule $y = -x + 7$?
2. How would you graph the equation $y = -x + 7$?
3. If $x = -3$, what is the value of $y$ using the same rule?
4. Write the slope-intercept form of the equation $y = -x + 7$. What are the slope and $y$-intercept?
5. How does the line $y = -x + 7$ compare to the line $y = x + 7$?

Tip: To check if a point is on a line, substitute the point's coordinates into the equation and verify if the equation holds true.