Answer
4
Work Step by Step
$8x-2y=1$
$8x-1=2y$
$y=4x-\frac{1}{2}$
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 $4$, so this is the slope.