#### Answer

$$m=\dfrac{6}{5}$$

#### Work Step by Step

RECALL:
The slope $m$ of the line that contains the points $(x_1, y_1)$ and $(x_2, y_2)$ can be found using the formula:
$$m=\dfrac{y_2-y_1}{x_2-x_1}$$
Use the formula above to obtain:
$$m=\dfrac{-2-7}{\frac{1}{2}-8}
\\m=\dfrac{-9}{\frac{1}{2}-\frac{16}{2}}
\\m=\dfrac{-9}{-\frac{15}{2}}
\\m=-9 \cdot \frac{-2}{15}
\\m=\dfrac{18}{15}
\\m=\dfrac{6}{5}$$