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From the image you uploaded, the question appears to be asking whether the relationship between \( y \) and a given expression is proportional. Let's examine both parts:

1. **Part 1:** \( y = 7x - \frac{1}{4} \)
   - This is not a proportional relationship because a proportional relationship takes the form \( y = kx \), where \( k \) is the constant of proportionality. In this case, there is a constant term \( -\frac{1}{4} \), so the equation is not in the form \( y = kx \).

2. **Part 2:** \( y = 7x \)
   - This equation is in the form \( y = kx \), where \( k = 7 \), so it represents a proportional relationship. The constant of proportionality here is \( k = 7 \).

Would you like more details or help with anything else? 

Here are 5 related questions:
1. What defines a proportional relationship in algebra?
2. How does the constant term in an equation affect proportionality?
3. Can a linear equation without a constant term always be considered proportional?
4. What are other examples of proportional relationships in everyday situations?
5. How do you find the constant of proportionality in more complex equations?

**Tip:** To check if an equation is proportional, look for the form \( y = kx \). Any additional terms (like constants) make it non-proportional.

Is the relationship between y and the given expression proportional?

Learn how to determine whether the relationship y = 7x - 1/4 is proportional. Understand key concepts in algebra, including proportional relationships and how to find the constant of proportionality. This guide is perfect for students in Grades 6-8.

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