What is the slope of the line that passes through the points left parenthesis, minus, 8, comma, minus, 6, right parenthesis(−8,−6) and left parenthesis, minus, 8, comma, 4, right parenthesis(−8,4)? Write your answer in simplest form.

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

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

Where:
- \( (x_1, y_1) = (-8, -6) \)
- \( (x_2, y_2) = (-8, 4) \)

Substitute these values into the formula:

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

Since the denominator is 0, this means the slope is **undefined**. When the denominator of the slope formula is zero, it represents a vertical line, which has no defined slope.

### Final Answer:
The slope of the line is **undefined**.

Would you like further details or have any questions?

Here are some related questions to explore:

1. What is the equation of a vertical line passing through a given point?
2. How do you find the slope of a line given two points when the slope is not undefined?
3. What does it mean when a slope is zero?
4. How can you graph a vertical line given two points?
5. What is the difference between a horizontal line and a vertical line in terms of slope?

**Tip:** Vertical lines always have undefined slopes, while horizontal lines have a slope of 0.

What is the slope of the line that passes through the points (-8, -6) and (-8, 4)? Write your answer in simplest form.

Discover how to find the slope of a line passing through the points (-8, -6) and (-8, 4). This geometry problem explores the concept of vertical lines and undefined slopes using the slope formula. Ideal for students in Grades 8-10.

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