https://file.aiquickdraw.com/mathbot/file/17297167506316ohoeqe5.jpg

To find the slope of the line from the graph, we use the formula for slope:

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

Looking at the image, the points provided are \((3, -4)\) and \((3, -4)\), which means both points are identical, indicating a horizontal line. 

Since the difference in the y-values \((y_2 - y_1)\) is 0, and the difference in the x-values \((x_2 - x_1)\) is also 0, we have:

\[
m = \frac{-4 - (-4)}{3 - 3} = \frac{0}{0}
\]

However, dividing by zero is undefined. This means the slope of this line is **undefined**.

The correct answer is **B. The slope of the line is undefined**.

Would you like more details or have any questions?

Here are 5 related questions you might find useful:
1. How do you find the slope of a vertical line?
2. What happens when the denominator in the slope formula is zero?
3. How does the slope of a horizontal line compare to that of a vertical line?
4. Can you determine the slope of any line given two distinct points?
5. What does it mean geometrically for a slope to be undefined?

**Tip:** A vertical line always has an undefined slope, while a horizontal line has a slope of 0.

Find the slope of the line passing through the points (3, -4) and (3, -4).

Learn how to find the slope of the line passing through the points (3, -4) and (3, -4). This problem demonstrates the concept of an undefined slope, using the slope formula m = (y2 - y1) / (x2 - x1), applicable to students in Grades 8-10.

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