What is the slope of the line that passes through the points(−6,1) and (−6,−4)?

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

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

Here, the points are \( (-6, 1) \) and \( (-6, -4) \). Plugging these into the formula:

\[
m = \frac{-4 - 1}{-6 - (-6)} = \frac{-5}{0}
\]

Since the denominator is zero, the slope is undefined. This means the line is vertical.

### Conclusion:
The slope of the line passing through \( (-6, 1) \) and \( (-6, -4) \) is **undefined** (the line is vertical).

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Would you like more details or have any questions? Here are some related questions:

1. What is the slope of a horizontal line?
2. How do you find the equation of a vertical line?
3. Can a vertical line have a defined slope?
4. What is the difference between the slopes of parallel and perpendicular lines?
5. How do you calculate the slope of a line if the points have the same y-values?

**Tip:** Vertical lines have an undefined slope because their run (difference in x-values) is zero.

What is the slope of the line that passes through the points (−6,1) and (−6,−4)?

Learn how to determine the slope of a line passing through the points (-6,1) and (-6,-4). This problem explores the concept of a vertical line, where the slope is undefined due to a zero denominator. Ideal for students in Grades 6-8.

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