Answer
$-\frac{2}{3}$
Work Step by Step
$y=-\frac{2}{3}x+\frac{1}{3}$
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 $-\frac{2}{3}$, so this is the slope.
