The problem asks to convert the equation $3x - 2y = -6$ to slope-intercept form, and then to identify the slope and $y$-intercept.

1. Problem Description

The problem asks to convert the equation $3x - 2y = -6$ to slope-intercept form, and then to identify the slope and $y$-intercept.

2. Solution Steps

The slope-intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept.

We need to isolate $y$ in the given equation $3x - 2y = -6$.

First, subtract $3x$ from both sides of the equation:

$-2y = -3x - 6$

Then, divide both sides by $-2$:

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

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

From the slope-intercept form $y = \frac{3}{2}x + 3$, we can identify the slope $m$ and the $y$-intercept $b$.

The slope $m = \frac{3}{2}$.

The $y$-intercept $b = 3$.

3. Final Answer

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