1. The problem asks if the point (5, 4) lies on the line given by the equation $y = x$. 2. The equation $y = x$ means that for any point on the line, the $y$-coordinate must be equal to the $x$-coordinate. 3. To check if the point (5, 4) is on the line, substitute $x = 5$ into the equation: $$y = 5$$ 4. The $y$-coordinate of the point is 4, but the equation gives $y = 5$. 5. Since $4 \neq 5$, the point (5, 4) does not satisfy the equation $y = x$. 6. Therefore, Tommy is not correct. Final answer: No