To find the slope of the line passing through the points \((-3, 5)\) and \((2, 6)\), you can use the slope formula:

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

Where:
- \((x_1, y_1) = (-3, 5)\)
- \((x_2, y_2) = (2, 6)\)

Substitute the values into the formula:

\[
m = \frac{6 - 5}{2 - (-3)} = \frac{1}{2 + 3} = \frac{1}{5}
\]

So, the slope \(m = \frac{1}{5}\).

Would you like more details or have any questions about this solution?

Here are 5 related questions for further practice:
1. What is the slope of a line through the points \((1, 2)\) and \((4, 6)\)?
2. If the slope of a line is \(2\), and it passes through the point \((3, 4)\), what is the equation of the line?
3. How do you determine if two lines are parallel?
4. What is the slope of a horizontal line?
5. How do you find the slope given a graph of a line?

**Tip:** The slope represents the "steepness" of a line: a positive slope rises, a negative slope falls.

Learn how to calculate the slope of a line passing through the points (-3, 5) and (2, 6) using the slope formula. This problem is ideal for students in Grades 7-9 and involves key concepts in algebra and analytic geometry.

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