To find the slope of the linear function represented by the table, we use the slope formula:

$\text{slope} = \frac{\Delta y}{\Delta x} = \frac{f(x_2) - f(x_1)}{x_2 - x_1}$

We can select any two points from the table to calculate the slope. Let's use the points $(0, 5)$ and $(2, 6)$.

Substituting these values into the slope formula:

$\text{slope} = \frac{6 - 5}{2 - 0} = \frac{1}{2}$

Thus, the slope of the function is $\frac{1}{2}$.

Would you like further details or have any questions? Here are some related questions you might find helpful:

1. How would you calculate the slope using a different pair of points?
2. Can the slope of a linear function be negative? If so, what would that indicate?
3. How does the slope of a function affect its graph?
4. What does it mean for a function to be linear?
5. How can you determine the y-intercept of this linear function?

Tip: In a linear function, the slope is constant regardless of which two points you choose on the line.