Answer
$\frac{1}{6}$
Work Step by Step
$y=\frac{1}{6}x+\frac{1}{6}$
The slope is the coefficient of x (in $y = mx + b$ form) and is the rise over the run (or the change in y over the change in x).
Now the coefficient of x is $\frac{1}{6}$, so this is the slope.
