#### Answer

Slope $m=\frac{3}{2}$

#### Work Step by Step

The slope-intercept form equation of a straight line is $y=mx+b$ where $m$ is the slope.
To find the slope of the line $3x-2y=12$, we rearrange the equation in the form $y=mx+b$:
$3x-2y=12$
$-2y=-3x+12$
$2y=3x-12$
$y=\frac{3x-12}{2}$
$y=\frac{3x}{2}-\frac{12}{2}$
$y=\frac{3x}{2}-6$
Comparing this equation with $y=mx+b$, we find that $m=\frac{3}{2}$.