Find the equation that represents the proportional relationship in this graph, for yy in terms of xx.
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To find the equation representing a proportional relationship in a graph for \( y \) in terms of \( x \), let's outline the general process:

1. **Proportional Relationship**: In a proportional relationship, the equation takes the form:
   \[
   y = kx
   \]
   where \( k \) is the constant of proportionality.

2. **Determine \( k \)**: If given a point on the graph (for example, \( (x, y) = (a, b) \)), we can substitute to solve for \( k \):
   \[
   k = \frac{y}{x}
   \]

3. **Form the Equation**: Once \( k \) is found, substitute back to write the equation as \( y = kx \).

If you can provide specific points from the graph or an image, I can guide you through finding the exact equation. 

Would you like more detailed steps?

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1. What is a proportional relationship in mathematics?
2. How do you determine the constant \( k \) in proportional relationships?
3. How can you identify a proportional relationship from a graph?
4. What happens to the graph if \( k \) is negative?
5. How does a proportional equation differ from a linear equation?

**Tip**: For proportional graphs, the line always passes through the origin, as \( y = kx \) means \( y = 0 \) when \( x = 0 \).

Find the equation that represents the proportional relationship in this graph, for y in terms of x.

Learn how to find the equation for a proportional relationship from a graph. This guide covers how to determine the constant of proportionality (k) and form the equation y = kx. Ideal for students in Grades 6-8 studying linear equations and proportional relationships.

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