To find the slope of the line that passes through the points $(-4, -6)$ and $(1, -6)$, you can use the slope formula:

$\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}$

Here, $(x_1, y_1) = (-4, -6)$ and $(x_2, y_2) = (1, -6)$. Plugging in these values:

$\text{slope} = \frac{-6 - (-6)}{1 - (-4)} = \frac{-6 + 6}{1 + 4} = \frac{0}{5} = 0$

So, the slope of the line is $0$.

Summary

• The slope is $0$, indicating that the line is horizontal.

Would you like more details or have any questions?

Here are some related questions:

1. What does a slope of 0 indicate about a line?
2. How do you find the slope of a vertical line?
3. Can a line have an undefined slope? If so, when?
4. How does the distance between two points affect the slope of the line passing through them?
5. What is the slope-intercept form of a line with a slope of 0?

Tip: A slope of 0 means the line is perfectly horizontal, and all points on the line have the same y-coordinate.