Find the slope of the line that passes through (7, 9) and (3, 14).

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 $(x_2, y_2)$ can be found using the formula $\dfrac{y_2-y_1}{x_2-x_1}$.

Using this formula, we have the two points $(x_1, y_1) = (7, 9)$ and $(x_2, y_2) = (3, 14)$.

Substituting these values into the formula, we get $\dfrac{14-9}{3-7} = \dfrac{5}{-4}$.

Therefore, the slope of the line that passes through the points $(7, 9)$ and $(3, 14)$ is $\boxed{-\dfrac{5}{4}}$.