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To find the slope of the line passing through the points \((-8, 6)\) and \((-8, -4)\), we use the slope formula:

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

Here, the points are:
\[
(x_1, y_1) = (-8, 6) \quad \text{and} \quad (x_2, y_2) = (-8, -4)
\]

Substituting these values into the formula:

\[
m = \frac{-4 - 6}{-8 - (-8)} = \frac{-10}{0}
\]

Since the denominator is zero, this indicates that the slope is **undefined**, meaning the line is vertical.

Would you like more details or explanations?

Here are five related questions to extend this topic:
1. What does it mean when a line has an undefined slope?
2. How do you find the slope of a horizontal line?
3. How can you determine the equation of a vertical line?
4. What is the difference between the slope of a vertical and horizontal line?
5. How can you find the distance between two points on a coordinate plane?

**Tip:** A vertical line always has an undefined slope, and its equation is of the form \(x = \text{constant}\).

Find the slope of the line passing through the points (-8, 6) and (-8, -4).

Discover how to find the slope of a vertical line passing through the points (-8, 6) and (-8, -4). Learn why the slope is undefined due to a division by zero and understand key geometry concepts like vertical lines and undefined slopes. Suitable for students in Grades 8-10.

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