Answer
The slope is $\frac{1}{6}$.
The y-intercept is $\frac{1}{6}$.
Work Step by Step
$x-6y=-1$
$6y=x+1$
$y=\frac{1}{6}x+\frac{1}{6}$
The slope is the coefficient of $x$.
The slope is $\frac{1}{6}$.
The y-intercept is the constant.
The y-intercept is $\frac{1}{6}$.