Answer
$\dfrac{3}{2}$
Work Step by Step
To find the slope of a line that is written in standard form, we need to change this equation into the slope-intercept form.
The slope-intercept form is given as follows:
$y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept.
First, we subtract $3x$ from each side of the equation to isolate the $y$ variable to the left side of the equation:
$-2y = -3x - 12$
Let us divide both sides by $-1$ so that all terms are positive and easier to work with:
$2y = 3x + 12$
Divide both sides by $2$ to isolate the $y$ by itself:
$y = \dfrac{3}{2}x + 6$
Now that we have the equation in slope-intercept form, we can see that the slope ($m$) is $\dfrac{3}{2}$.
