Let's analyze the given graph and statements:

The graph shows a straight line with a negative slope that does not pass through the origin. Here's a breakdown of the options:

1. The relationship is proportional

   • False: A proportional relationship must pass through the origin $(0, 0)$, which this graph does not.

2. The relationship is not proportional

   • True: The line does not pass through the origin, so it is not proportional.

3. The graph does not pass through the origin

   • True: The graph does not pass through $(0, 0)$.

4. The graph passes through the origin

   • False: The line does not intersect the origin.

5. The slope is the same as the unit rate

   • True: In a linear relationship, the slope represents the constant rate of change, which is also the unit rate.

Correct answers:

• The relationship is not proportional.
• The graph does not pass through the origin.
• The slope is the same as the unit rate.

Would you like further clarification on any of the points or more details about proportional relationships and slopes?

Related Questions:

1. What defines a proportional relationship in a graph?
2. How do you calculate the slope of a line from a graph?
3. What are examples of proportional and non-proportional relationships?
4. Why is the slope of a line considered the unit rate?
5. How can you determine if a graph passes through the origin?

Tip: A proportional relationship always starts at the origin $(0, 0)$, and its slope (rate of change) remains constant.