The points on this graph represent a relationship between X and Y values. Which statement about the relationship is true?
It cannot be proportional because the straight line through the points does not go through the origin.
It must be proportional because each time X increases by 3 units, Y increases by 1 unit.
It cannot be proportional because no values are given.
It must be proportional because the points lie in a straight line.
The points on this graph represent a relationship between X and Y values. Which statement about the relationship is true
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The correct answer is: It cannot be proportional because the straight line through the points does not go through the origin.
### Explanation:
For a relationship to be proportional, the graph must pass through the origin (0,0). If a straight line does not pass through the origin, it indicates that there is a constant added to the relationship, which means it is not a direct proportionality. Just having a straight line doesn’t guarantee a proportional relationship; it must also satisfy the origin condition.