#### Answer

$slope=\frac{1}{3}$

#### 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 calculate the slope between the two points, $A(3,1)$ and $B(6,2)$:
$slope=\frac{2-1}{6-3}=\frac{1}{3}$