#### Answer

slope=6

#### 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 $(1/6,1/2)$ and $(5/6,9/2)$:
$slope=m=\displaystyle \frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{9/2-1/2}{5/6-1/6}=\frac{8/2}{4/6}=\frac{8*6}{4*2}=\frac{8*6}{8}=6$