The image shows a graph with a line passing through the points $(-6, 0)$ and $(-3, -3)$. We need to find the slope of the line that connects these two points.

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

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

Here, the points are:

• $(-6, 0)$ which gives $x_1 = -6$, $y_1 = 0$
• $(-3, -3)$ which gives $x_2 = -3$, $y_2 = -3$

Substitute these values into the slope formula:

$m = \frac{-3 - 0}{-3 - (-6)} = \frac{-3}{-3 + 6} = \frac{-3}{3} = -1$

So, the slope of the line is $-1$.

Would you like further clarification or details on any part of the process?

Here are some related questions:

1. How do you interpret slope in terms of rise and run?
2. What does a slope of $-1$ mean in terms of the steepness of the line?
3. Can a vertical line have a slope?
4. How would you find the slope if the points were reversed?
5. What is the slope of a horizontal line?

Tip: The slope indicates how much the $y$-coordinate changes for every unit change in the $x$-coordinate.