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The problem asks for the slope of a line that is vertical and passes through the point \((2, -5)\).

For vertical lines, the slope is always **undefined** because the change in \(x\)-coordinates is zero, making the slope formula (rise over run) impossible to compute, as division by zero is undefined.

Therefore, the correct answer is:

**Option B: The slope is undefined.**

Would you like further details on this? Here are some follow-up questions you might explore:

1. What is the slope formula for non-vertical lines?
2. How do we calculate the slope of a horizontal line?
3. What is the equation of a vertical line passing through a point like \((2, -5)\)?
4. How does the slope affect the shape of the graph?
5. Can a line have a zero slope, and if so, what does it mean?

**Tip**: Vertical lines are always of the form \(x = c\), where \(c\) is the \(x\)-coordinate through which the line passes.

Find the slope of the line satisfying the following conditions: vertical through (2, -5)

Learn how to find the slope of a vertical line passing through the point (2, -5). This problem covers concepts such as linear equations, vertical lines, and the undefined slope theorem. Suitable for students in Grades 8-10.

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