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Select all the statements that are true for the linear relationship shown.
The relationship is proportional.
The relationship is not proportional.
The graph does not pass through the origin.
The graph passes through the origin.
The slope is the same as the unit rate.
To determine which statements are true about the linear relationship, we need to consider key characteristics of linear relationships:
1. The relationship is proportional. (True if the line passes through the origin and maintains a constant ratio.)
2. The relationship is not proportional. (True if the line does not pass through the origin.)
3. The graph does not pass through the origin. (True if the y-intercept is not zero.)
4. The graph passes through the origin. (True if the y-intercept is zero.)
5. The slope is the same as the unit rate. (True for proportional relationships, as the slope represents the constant rate of change.)
Answer: If the graph passes through the origin, statements 1, 4, and 5 are true. If it does not pass through the origin, statements 2, 3, and 5 may apply. It depends on the specifics of the graph being analyzed.
Feel free to ask about any particular aspects or clarify further!