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The constant of proportionality in a linear equation is the coefficient that relates two variables proportionally, often in the form \( y = kx \), where \( k \) is the constant of proportionality.

In the given options:

- **A. \( y = -3.5x \)**: The constant of proportionality is \(-3.5\), but the question asks for 3.5.
- **B. \( y = x + 3.5 \)**: This is not proportional, as the equation involves an additive constant (3.5).
- **C. \( y = 3.5x \)**: This has a constant of proportionality of 3.5, matching the requirement.
- **D. \( 3.5y = x \)**: Rewriting this as \( y = \frac{1}{3.5}x \), the constant of proportionality would be \( \frac{1}{3.5} \), not 3.5.

Therefore, **C. \( y = 3.5x \)** is the correct equation with a constant of proportionality of 3.5.

Would you like more details or have any further questions?

Here are 5 related questions for further practice:
1. What is the constant of proportionality in the equation \( y = 4.2x \)?
2. How can you tell if an equation represents a proportional relationship?
3. What is the inverse proportionality of \( y = 2.5x \)?
4. Rewrite the equation \( 2y = 6x \) in the form of \( y = kx \) and identify \( k \).
5. How does the presence of an additive constant in an equation affect proportionality?

**Tip:** A constant of proportionality directly relates two variables in a linear fashion without any additional constants.

Which equation has a constant of proportionality of 3.5?

Learn how to identify the constant of proportionality in a linear equation. This example walks through finding the constant of proportionality of 3.5 in y = 3.5x, suitable for students in Grades 7-9. Understand the key concepts of proportionality and linear equations.

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