# How do you find the slope of the line described by x-3y = -6?

The slope is the coefficient of $x$ when the equation is written in esplicit form:
$y = m x + q$.
$x - 3 y = - 6 \Rightarrow 3 y = x + 6 \Rightarrow y = \frac{1}{3} x + 2$ and so the slope is $m = \frac{1}{3}$.