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The question asks for the constant of proportionality \( \frac{y}{x} \), which corresponds to the slope of the line in the graph. 

We can calculate the slope by choosing two points on the line and using the formula for the slope:

\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]

Looking at the graph, we can identify two points:
- The origin \( (0, 0) \)
- The point \( (1, 4) \)

Using these two points:
\[
\text{slope} = \frac{4 - 0}{1 - 0} = \frac{4}{1} = 4
\]

Thus, the constant of proportionality is 4.

Would you like further details or have any other questions?

Here are 5 related questions:
1. How does the slope represent the rate of change in proportional relationships?
2. What would the graph look like if the constant of proportionality were negative?
3. Can the constant of proportionality be a fraction? If so, how does that affect the graph?
4. What would happen to the line if the constant of proportionality were zero?
5. How do you find the constant of proportionality if the graph is curved?

**Tip**: The constant of proportionality is the same as the slope in a linear relationship, and it stays the same for any two points on the line.

¿Cuál es la constante de proporcionalidad, y/x?

Learn how to find the constant of proportionality, represented by y/x, from a graph. In this example, the line passes through the origin and point (1, 4), demonstrating the concept of proportionality. Suitable for students in Grades 7-9.

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