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

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

The two points given are \((-9, 7)\) and \((-9, 3)\). Let's assign:

- \((x_1, y_1) = (-9, 7)\)
- \((x_2, y_2) = (-9, 3)\)

Now, substitute the values into the slope formula:

\[
m = \frac{3 - 7}{-9 - (-9)} = \frac{-4}{0}
\]

Since division by zero is undefined, the slope of the line is **undefined**. This means the line is **vertical**.

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

Here are 5 related questions to practice:
1. What is the slope of a line that passes through \((2, 3)\) and \((5, 8)\)?
2. What is the equation of a vertical line passing through \((-9, 7)\)?
3. How would you find the slope of a horizontal line?
4. What does it mean when a line has a slope of zero?
5. How do you interpret the slope in real-world applications?

**Tip:** A vertical line has an equation of the form \(x = a\), where \(a\) is the constant \(x\)-coordinate for all points on the line.

Find the slope of the line passing through the points (-9, 7) and (-9, 3).

Learn how to find the slope of a line passing through the points (-9, 7) and (-9, 3). This problem demonstrates how to apply the slope formula and explains why the slope of a vertical line is undefined. Suitable for students in Grades 7-9.

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