Jermaine plots the points (0,0) and (4,11) on a graph to represent a proportional relationship. Which of the following equations represents the relationship between x and y-values?

A proportional relationship implies that \( y = kx \), where \( k \) is the constant of proportionality (or slope of the line).

To find \( k \), we can use the two points given: \( (0, 0) \) and \( (4, 11) \).

The slope \( k \) is calculated as:

\[
k = \frac{\text{change in } y}{\text{change in } x} = \frac{11 - 0}{4 - 0} = \frac{11}{4}
\]

Therefore, the equation that represents the relationship between the \( x \) and \( y \) values is:

\[
y = \frac{11}{4}x
\]

Would you like more details on how this slope was calculated?

Here are 5 related questions to explore:

1. What does the slope represent in a proportional relationship?
2. How do you graph a proportional relationship on the coordinate plane?
3. What would happen to the equation if the points given were different?
4. How do you interpret the constant of proportionality in a real-world context?
5. What is the significance of the point \( (0, 0) \) in a proportional relationship?

**Tip:** In a proportional relationship, the line always passes through the origin (0,0).

Discover how to find the equation of a proportional relationship using the points (0,0) and (4,11). Learn key concepts like the slope (k) and the formula y = kx. This problem is suitable for students in Grades 6-8.

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