If a graph is proportional, what characteristic does it display? (1 point)
O It will curve.
It will have y-values larger than their corresponding z-values.
It will climb rapidly, indicating a steep slope.
It will pass through the point (0, 0)
It will pass through the point (0, 0)
The correct characteristic that a proportional graph displays is: It will pass through the point (0, 0).
To determine the characteristic of a proportional graph, you need to understand the concept of proportionality. In a proportional relationship, the ratio between two quantities remains constant. This means that as one variable increases, the other variable increases in a consistent manner.
In the context of a graph, a proportional relationship is represented by a straight line passing through the origin (0, 0). The "proportionality constant" is the slope of this line, which remains constant throughout the graph. The slope indicates how much one variable changes for each unit of change in the other variable.
So, the characteristic displayed by a proportional graph is that it will pass through the point (0, 0). This represents the condition where both variables are equal to zero, which makes sense in a proportional relationship. As one variable increases from this point, the other variable increases proportionally. Therefore, option D, "It will pass through the point (0, 0)", is the correct characteristic of a proportional graph.