Answer
$\text{slope: }
2
,\\\\\text{$y$-intercept: }
-\dfrac{3}{2}$
Work Step by Step
Using the properties of equality, the given equation, $
12x-6y=9
$, is equivalent to
\begin{array}{l}
-6y=-12x+9
\\\\
y=\dfrac{-12}{-6}x+\dfrac{9}{-6}
\\\\
y=2x-\dfrac{3}{2}
.\end{array}
Using $y=mx+b$ where $m$ is the slope and $b$ is the $y$-intercept, then the equation above has the following characteristics:
\begin{array}{l}
\text{slope: }
2
,\\\\\text{$y$-intercept: }
-\dfrac{3}{2}
.\end{array}
