To solve this problem, we need to find the slope of the line passing through the points $(-1, 0)$ and $(-2, -5)$.

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

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

Now, using the given points:

• $x_1 = -1$, $y_1 = 0$
• $x_2 = -2$, $y_2 = -5$

We can substitute these values into the slope formula:

$m = \frac{-5 - 0}{-2 - (-1)} = \frac{-5}{-2 + 1} = \frac{-5}{-1} = 5$

Thus, the slope of the line is $m = 5$.

Would you like further details on how to graph this, or do you have any additional questions?

Here are 5 related questions to consider:

1. How do you interpret the slope of a line geometrically?
2. Can you find the equation of the line passing through the points $(-1, 0)$ and $(-2, -5)$?
3. What is the significance of a positive slope in a graph?
4. How would the slope change if the coordinates were reflected over the x-axis?
5. Can you find the y-intercept of this line?

Tip: When calculating the slope, always be cautious with the signs, as they can affect the result significantly.