#### 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, $B(6,2)$ and $C(9,3)$:
$slope=\frac{3-2}{9-6}=\frac{1}{3}$