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To find the slope of the line containing the points \((6, -7)\) and \((6, -9)\), we use the slope formula:

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

Where:
- \((x_1, y_1) = (6, -7)\)
- \((x_2, y_2) = (6, -9)\)

Now, substitute the values into the slope formula:

\[
m = \frac{-9 - (-7)}{6 - 6} = \frac{-9 + 7}{6 - 6} = \frac{-2}{0}
\]

Since dividing by 0 is undefined, the slope of the line is **undefined**.

Thus, the correct choice is **B. The slope is undefined.**

Would you like further details or have any questions?

Here are 5 related questions:
1. What is the significance of an undefined slope?
2. How do vertical lines differ from horizontal lines in terms of slope?
3. Can two points with the same x-coordinates ever form a line with a defined slope?
4. What is the slope of a horizontal line?
5. How does the slope formula change when calculating for different quadrants?

**Tip:** An undefined slope indicates a **vertical line**, where the x-coordinates of all points are identical.

Find the slope, if it exists, of the line containing the pair of points (6, -7) and (6, -9).

Learn how to find the slope of a line passing through the points (6, -7) and (6, -9). This problem involves using the slope formula and understanding how division by zero results in an undefined slope. Suitable for students in Grades 8-10.

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