Final answer:
Tommy is incorrect because the point (5,4) does not satisfy the equation y=x, as the x and y coordinates are not equal.
Step-by-step explanation:
Tommy stated that the point (5,4) lies on the line y=x.
To verify if Tommy is correct, we can check if the coordinates of the point satisfy the equation of the line.
The line y=x indicates a direct dependence of y on x with a slope of 1 and a y-intercept of 0, meaning for any point on the line, the x-coordinate is equal to the y-coordinate.
The given point has an x-coordinate of 5 and a y-coordinate of 4.
Substituting into the equation of the line, we should get y = x, which translates to 4 = 5. Since this statement is false, the point (5,4) does not lie on the line y=x.
Therefore, Tommy is incorrect.