We need to find the slope of the line given by the equation $2y + 3x = 13$.

1. Problem Description

We need to find the slope of the line given by the equation $2y + 3x = 13$.

2. Solution Steps

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

$2y + 3x = 13$

Subtract $3x$ from both sides:

$2y = -3x + 13$

Divide both sides by 2:

$y = -\frac{3}{2}x + \frac{13}{2}$

Now, we can identify the slope $m$ from the slope-intercept form $y = mx + b$.

In this case, $m = -\frac{3}{2}$.

3. Final Answer

The slope of the line is $m = -\frac{3}{2}$.

The answer is d) $m = -\frac{3}{2}$.