To find the slope of the line passing through the given points, we can use the formula for slope:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

From the table, let's select two points. I'll choose the points (5, -5) and (6, -6).

Using the formula:

$m = \frac{-6 - (-5)}{6 - 5} = \frac{-6 + 5}{1} = \frac{-1}{1} = -1$

Thus, the slope is $-1$.

Would you like further details on this? Here are some related questions you could explore:

1. What is the equation of the line given the slope and a point?
2. Can we confirm the slope using other points from the table?
3. How do changes in the values of $x$ and $y$ affect the slope?
4. How can you find the y-intercept of the line given this slope?
5. What does a negative slope indicate about the relationship between $x$ and $y$?

Tip: When the slope is negative, it means that as the value of $x$ increases, the value of $y$ decreases proportionally.