If a graph is proportional what characteristic does it display?
1. it will pass through the point (0,0)
2. it will climb rapidly, indicating a steep slope
3.it will curve
4. it will have y-values larger than their corresponding x-values
1. it will pass through the point (0,0)
The characteristic that a graph displays if it is proportional is that it will pass through the point (0,0).
The correct characteristic that a graph displays if it is proportional is option 1: it will pass through the point (0,0).
To determine if a graph is proportional, we need to examine its equation or data points. A graph is considered proportional if it represents a linear relationship between two variables, meaning that as one variable increases, the other increases at a constant rate.
To check if a graph is proportional, we can look at the data points and verify if they lie on a straight line passing through the origin (0,0). If the graph passes through the point (0,0) for all the given data points, it indicates a proportional relationship. The line passing through the origin represents dividing y by x will give a constant value (slope).
Therefore, option 1 is the correct characteristic that a graph displays if it is proportional.