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To find the slope of the line passing through two points, we use the slope formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Given the points \((-5, 0)\) and \((0, 2)\), we can label them as:

- \((x_1, y_1) = (-5, 0)\)
- \((x_2, y_2) = (0, 2)\)

Substitute these values into the slope formula:

\[
m = \frac{2 - 0}{0 - (-5)} = \frac{2}{5}
\]

So, the slope of the line is:

\[
m = \frac{2}{5}
\]

The slope is already in its simplest form, and it is a proper fraction. 

Would you like more details, or do you have any further questions?

Here are 5 related questions to explore this topic further:
1. How would the slope change if the line passed through \((0, 2)\) and \((5, 4)\)?
2. Can you find the equation of the line given the points \((-5, 0)\) and \((0, 2)\)?
3. What does the slope of \(\frac{2}{5}\) tell you about the steepness of the line?
4. How would you graph a line with a slope of \(\frac{2}{5}\)?
5. How can you determine if two lines are parallel using their slopes?

**Tip**: The sign of the slope indicates the direction of the line—positive slopes rise from left to right, while negative slopes fall from left to right.

Learn how to find the slope of a line passing through the points (-5, 0) and (0, 2) using the slope formula. This step-by-step solution is designed for students in Grades 7-9, covering key concepts in coordinate geometry.

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