https://file.aiquickdraw.com/mathbot/file/1726075798911p72ial02.jpg

The question asks for the equation of a line that contains the point \( (3, -4) \) and has a slope of 0.

### Key Points:
- A **slope of 0** indicates a horizontal line. This means the equation will be of the form \( y = \text{constant} \).
- The line must pass through the point \( (3, -4) \), so the \( y \)-value of the line must be -4.

Thus, the equation of the line is \( y = -4 \), which is the last option provided in the image.

### Correct Answer: 
The correct equation is:
\[ y = -4 \]

Would you like further clarification on this? 

Here are some additional related questions:
1. What is the general form of a line with a non-zero slope?
2. How do you find the equation of a line given two points?
3. What is the equation of a vertical line passing through a given point?
4. How would the equation change if the slope were not zero but some other number?
5. Can a line have a slope of infinity?

**Tip:** Remember, a slope of 0 always represents a horizontal line where the \( y \)-value remains constant!

Which equation is the line that contains the point (3, -4) and has a slope of 0?

Find the equation of a line that passes through the point (3, -4) and has a slope of 0. This problem demonstrates how to recognize horizontal lines and use the properties of slope and point to identify the correct linear equation. Suitable for students in Grades 8-10.

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