Question

a. The constant of proportionality is Response area

b. Write an equation that represents the linear graph. Response area

c. This is a proportional relationship because the graph shows Response area

Answers:

linear with a y-intercept at (0,0)
a constant rate of change
1
the point are connected
5
1/5
a linear relationship
2
y=5x
5y=x
1/2

Answer 1

Let's break down the responses for each part of your question based on the provided answers.

### a. The constant of proportionality is:
**1/5**
This indicates that for every increase of 1 unit in x, there is an increase of 1/5 unit in y, which supports a linear relationship.

### b. Write an equation that represents the linear graph:
**y = 1/5 x**
This equation suggests that y is directly proportional to x with a constant ratio of 1/5, which agrees with our constant of proportionality.

### c. This is a proportional relationship because the graph shows:
**a linear relationship**
This statement emphasizes that the relationship between x and y is linear and that it passes through the origin, satisfying the conditions for proportionality.

To summarize:
- **a:** 1/5
- **b:** y = 1/5 x
- **c:** a linear relationship

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