https://file.aiquickdraw.com/mathbot/file/17282271548362ll5nxj7.jpg

To find the slope of the line between the points \((4, 6)\) and \((4, -3)\), we can use the slope formula:

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

For the given points:

- \((x_1, y_1) = (4, 6)\)
- \((x_2, y_2) = (4, -3)\)

Substituting these values into the slope formula:

\[
\text{slope} = \frac{-3 - 6}{4 - 4} = \frac{-9}{0}
\]

Since division by zero is undefined, the slope of the line is **undefined**.

Therefore, the correct answer is **D. undefined**.

Would you like more details or have any further questions?

Here are some related questions to expand on this concept:
1. What does it mean when the slope of a line is undefined?
2. How do you find the slope of a horizontal line?
3. What is the geometric interpretation of a vertical line's slope?
4. What are other ways to describe the relationship between two points with an undefined slope?
5. How does the slope relate to the angle of inclination of a line?

**Tip**: A vertical line always has an undefined slope because the change in \(x\) (the denominator) is zero, leading to division by zero.

Find the slope of the line between (4, 6) and (4, -3).

Learn how to calculate the slope of the line between two points, (4, 6) and (4, -3). This problem focuses on vertical lines, where the slope is undefined due to division by zero. Suitable for students in Grades 8-10 studying coordinate geometry.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation