To find the slope of the line that passes through the points given in the table, we can use the formula for the slope \( m \) which is defined as:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
We can choose any two points from the table. Let's use the first point (5, 16) and the last point (30, 1).
Using these points:
- \( (x_1, y_1) = (5, 16) \)
- \( (x_2, y_2) = (30, 1) \)
Now substituting these values into the slope formula:
\[ m = \frac{1 - 16}{30 - 5} = \frac{-15}{25} = \frac{-3}{5} \]
Thus, the slope of the line is
\[ \boxed{-\frac{3}{5}} \]