To find the slope \( m \) of the line that passes through the points \( (x_1, y_1) = (2, 6) \) and \( (x_2, y_2) = (7, 0) \), you can use the slope formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Plugging in the values:
\[ m = \frac{0 - 6}{7 - 2} = \frac{-6}{5} \]
Thus, the slope of the line is
\[ \boxed{-\frac{6}{5}}. \]