To find the slope of the line that passes through the given points, we can use the formula for the slope \( m \):
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
We will use two points from the table. Let’s take the points \( (7, 31) \) and \( (8, 23) \).
Here, \( (x_1, y_1) = (7, 31) \) and \( (x_2, y_2) = (8, 23) \). Now we can substitute these values into the slope formula:
\[ m = \frac{23 - 31}{8 - 7} = \frac{-8}{1} = -8 \]
Thus, the slope of the line is
\[ \boxed{-8} \]
We can verify this by calculating the slopes using another pair of points, such as \( (8, 23) \) and \( (9, 15) \):
Take \( (x_1, y_1) = (8, 23) \) and \( (x_2, y_2) = (9, 15) \):
\[ m = \frac{15 - 23}{9 - 8} = \frac{-8}{1} = -8 \]
Lastly, we'll check \( (9, 15) \) and \( (10, 7) \):
Take \( (x_1, y_1) = (9, 15) \) and \( (x_2, y_2) = (10, 7) \):
\[ m = \frac{7 - 15}{10 - 9} = \frac{-8}{1} = -8 \]
Thus, in all pairs of points, we find that the slope remains consistent. Therefore, the final answer for the slope of the line is
\[ \boxed{-8} \]