How do you find the slope and intercept to graph 8y-x+7=0 ?

rearrange $\implies 8 y = x - 7$
$y = \frac{1}{8} x - \frac{7}{8}$
the slope is $\frac{1}{8}$ and the intercept is $\left(0 , - \frac{7}{8}\right)$