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The image you've provided shows part of a math worksheet. The specific statement in question is:

**"b. A vertical line has undefined slope."**

It looks like the worksheet is asking you to fill in a conjecture using an "If ______, then ______" structure based on the given statement.

One possible conjecture could be:

**"If a line is vertical, then it has an undefined slope."**

This is because the slope of a vertical line involves division by zero, which is mathematically undefined.

Would you like to explore more details about why the slope of a vertical line is undefined, or do you have any further questions?

Here are 5 related questions for deeper understanding:

1. What is the slope of a horizontal line?
2. How do you calculate the slope between two points?
3. Why is dividing by zero undefined in mathematics?
4. Can a line ever have an infinite slope, or is it always undefined for vertical lines?
5. What does the slope tell us about the angle or direction of a line?

**Tip:** Remember that the slope of a line measures its steepness. Horizontal lines have a slope of zero, while vertical lines are undefined because they do not have a meaningful rise-to-run ratio.

If a vertical line has undefined slope, then what is the conjecture?

This problem explains why a vertical line has an undefined slope using a conjecture. Suitable for students in Grades 7-10, this covers key concepts in linear equations and slope calculations.

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