We need to find the slope $m$ and the y-intercept $b$ of the line whose equation is given by $3x - 2y = 12$.

1. Problem Description

We need to find the slope $m$ and the y-intercept $b$ of the line whose equation is given by $3x - 2y = 12$.

2. Solution Steps

First, we need to rewrite the equation in slope-intercept form, which is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Given equation: $3x - 2y = 12$

Subtract $3x$ from both sides:

$-2y = -3x + 12$

Divide both sides by $-2$:

$y = \frac{-3x}{-2} + \frac{12}{-2}$

$y = \frac{3}{2}x - 6$

Now, we can identify the slope $m$ and the y-intercept $b$.

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

$b = -6$

3. Final Answer

D. $m = \frac{3}{2}, b = -6$