What is the slope of the line that passes through the points 2, , 9, (2,9) and 18, minus, 3,(18,−3)? Write your answer in simplest form.

To find the slope of a line passing through two points, we can use the formula:

\[m = \dfrac{y_2 - y_1}{x_2 - x_1}\]

Using the points (2,9) and (18,-3), we substitute the coordinates into the formula to get:
\[m = \dfrac{(-3) - 9}{18 - 2} = \dfrac{-12}{16} = \boxed{-\dfrac{3}{4}}\]