#### Answer

slope=-3

#### Work Step by Step

To calculate the slope between points $(x_1,y_1)$ and $(x_2,y_2)$, we use the formula:
$slope=m=\frac{y_2-y_1}{x_2-x_1}$
We use the formula to find the slope between the points $(-2/9,5/18)$ and $(1/18,-5/9)$:
$slope=m=\displaystyle \frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-5/9-5/18}{1/18--2/9}=\frac{-10/18-5/18}{1/18+4/18}=\frac{-15/18}{5/18}=\frac{-15}{5}=-3$