Find the slope of the line that passes through (2, 7) and (5, 2).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
The slope of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula
$$m = \dfrac{y_2 - y_1}{x_2 - x_1}.$$
In this case, the coordinates are $(x_1, y_1) = (2, 7)$ and $(x_2, y_2) = (5, 2)$, so
$$m = \dfrac{2 - 7}{5 - 2} = \dfrac{-5}{3} = \boxed{-\dfrac{5}{3}}.$$