Answer
\begin{array}{l}\require{cancel}
\\\text{Slope-Intercept Form: }
y=-\dfrac{2}{3}x+2
\\\text{Slope: }
-\dfrac{2}{3}
\end{array}
Work Step by Step
Using the properties of equality, in the form $y=mx+b$ (or the Slope-Intercept Form of Linear Equations), the given equation is equivalent to:
\begin{align*}
6y&=-4x+12
\\\\
\dfrac{6y}{6}&=\dfrac{-4x+12}{6}
\\\\
y&=\dfrac{-4}{6}x+\dfrac{12}{6}
\\\\
y&=-\dfrac{2}{3}x+2
\end{align*}
Using $y=mx+b$ (where $m$ is the slope) then the given equation has the following properties
\begin{array}{l}\require{cancel}
\\\text{Slope-Intercept Form: }
y=-\dfrac{2}{3}x+2
\\\text{Slope: }
-\dfrac{2}{3}
\end{array}
