The problem asks to find the slope of a line passing through the points $(-2, -3)$ and $(-1, 6)$.

1. Problem Description

The problem asks to find the slope of a line passing through the points $(-2, -3)$ and $(-1, 6)$.

2. Solution Steps

The formula for the slope $m$ of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Given points are $(x_1, y_1) = (-2, -3)$ and $(x_2, y_2) = (-1, 6)$.

Substitute the given values into the formula:

$m = \frac{6 - (-3)}{-1 - (-2)}$

$m = \frac{6 + 3}{-1 + 2}$

$m = \frac{9}{1}$

$m = 9$

3. Final Answer

The slope of the line is 9.