1. **Problem Statement:** Determine whether the equation $y = 6h + 2x$ represents a proportional or non-proportional relationship. 2. **Understanding Proportional Relationships:** A proportional relationship between two variables means the equation can be written as $y = kx$ where $k$ is a constant, and the graph passes through the origin $(0,0)$. 3. **Analyzing the Given Equation:** The equation is $y = 6h + 2x$. Here, $y$ depends on two variables, $h$ and $x$. If we consider $h$ as a variable and $x$ as a constant, or vice versa, the equation is a sum of two terms, not a single term multiplied by a variable. 4. **Checking for Proportionality:** Since the equation has a constant term $6h$ added to $2x$, it is not of the form $y = kx$ for a single variable. Also, if either $h$ or $x$ is zero, $y$ does not necessarily become zero unless both are zero. 5. **Conclusion:** The equation $y = 6h + 2x$ represents a non-proportional relationship because it is a sum of terms and does not pass through the origin for all variables. **Final answer:** The relationship is non-proportional.