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To find the slope of a line passing through two points \((-3, -8)\) and \((5, 6)\), we use the slope formula:

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

Here, \((x_1, y_1)\) = \((-3, -8)\) and \((x_2, y_2)\) = \((5, 6)\).

Substituting these values into the formula:

\[
m = \frac{6 - (-8)}{5 - (-3)} = \frac{6 + 8}{5 + 3} = \frac{14}{8} = \frac{7}{4}
\]

So, the slope of the line is \(\frac{7}{4}\).

Do you need further clarification on the steps? 

Here are five questions to deepen your understanding:
1. What is the geometric meaning of the slope?
2. How would the slope change if the points were reversed?
3. What would the slope be if the points were \((1, 2)\) and \((1, 7)\)?
4. How do you interpret a negative slope?
5. Can the slope formula be used for vertical and horizontal lines?

**Tip**: A line with a positive slope rises from left to right, while a line with a negative slope falls from left to right.

Find the slope of the line passing through the points (-3, -8) and (5, 6).

Learn how to find the slope of a line passing through the points (-3, -8) and (5, 6). This problem uses the slope formula, a fundamental concept in coordinate geometry, making it ideal for students in Grades 7-9.

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