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The graph shows the relationship between the number of gallons of white paint (x) and the number of gallons of red paint (y). Based on the graph, this is a linear relationship, and we can deduce the equation from the graph.

### Steps to find the equation:
1. **Identify the slope**: The slope \(m\) of a line is given by \(\frac{\Delta y}{\Delta x}\). From the graph, as \(x\) (white paint) increases by 1 gallon, \(y\) (red paint) increases by 0.8 gallons. Therefore, the slope \(m\) is:
   \[
   m = \frac{\Delta y}{\Delta x} = \frac{4 - 0}{5 - 0} = 0.8
   \]

2. **Write the equation**: The equation of a line is in the form:
   \[
   y = mx + b
   \]
   Since the line passes through the origin (0, 0), the y-intercept \(b = 0\). Therefore, the equation becomes:
   \[
   y = 0.8x
   \]

### Final Answer:
The equation that describes the relationship is:
\[
y = 0.8x
\]

Would you like further details or clarifications? Here are some related questions to deepen your understanding:

1. How would the equation change if the graph had a different slope?
2. What is the meaning of the slope in this context?
3. How can you check if this equation is correct using points from the graph?
4. What happens to the amount of red paint if you double the amount of white paint?
5. How would you plot this equation if given a different point?

**Tip**: Always use the slope and y-intercept to write the equation of a line when given a linear graph.

The graph relates the number of gallons of white paint to the number of gallons of red paint Jess used to make the perfect pink. Write an equation that describes the relationship.

Learn how to determine the linear equation that describes the relationship between the number of gallons of white paint and red paint used by Jess to make the perfect pink. This problem demonstrates how to calculate the slope and use the slope-intercept form. Suitable for students in Grades 6-8.

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