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To find the slope of the line, we can use the formula:

\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]

Given two points on the line: \((x_1, y_1) = (-5, 0)\) and \((x_2, y_2) = (0, 2)\), we can substitute these values into the slope formula:

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

Therefore, the slope of the line is \( \frac{2}{5} \).

Would you like further details on this or have any other questions?

Here are five related questions to explore further:
1. How do you find the equation of a line if the slope and a point are given?
2. What is the slope-intercept form of a linear equation, and how is it used?
3. How can we find the slope from a graph without given points?
4. What does a positive slope indicate about the direction of a line?
5. How would the equation change if the slope was negative?

**Tip:** Always remember, when calculating slope, a positive value indicates the line rises from left to right, while a negative value indicates it falls from left to right.

Find the slope of the line passing through the points (-5, 0) and (0, 2).

This problem demonstrates how to calculate the slope of a line passing through two points, (-5, 0) and (0, 2), using the slope formula. Learn the step-by-step solution, the meaning of a positive slope, and how this applies to linear equations. Suitable for Grades 7-9 students.

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