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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.

Graph the line containing the given pair of points and find the slope: (-1, 0), (-2, -5).

Learn how to calculate the slope of a line passing through the points (-1, 0) and (-2, -5). This problem covers key concepts of coordinate geometry and linear equations, using the slope formula to determine the result. Ideal for students in Grades 7-10.

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