## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$\text{slope: } 2 ,\\\\\text{$y$-intercept: } -\dfrac{3}{2}$
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}