If a graph is proportional, what characteristic does it display?(1 point)
Responses
It will curve.
It will curve.
It will have y-values larger than their corresponding x-values.
It will have y -values larger than their corresponding x -values.
It will climb rapidly, indicating a steep slope.
It will climb rapidly, indicating a steep slope.
It will pass through the point (0, 0).
It will pass through the point (0, 0).
It will pass through the point (0, 0).
The correct answer is "It will pass through the point (0, 0)."
To determine if a graph is proportional, you can examine the relationship between the x-values (independent variable) and the y-values (dependent variable).
If the graph is proportional, it means that as the x-values increase or decrease, the corresponding y-values also increase or decrease in a consistent manner. In other words, the ratio of y-values to x-values remains constant throughout the graph.
To verify if a graph is proportional, you can choose any two points on the graph and calculate the ratio of their y-values to their corresponding x-values. If this ratio is consistent for all points on the graph, then the graph is proportional.
In addition, a key characteristic of a proportional graph is that it will always pass through the point (0, 0). This is because when the x-value is 0, the corresponding y-value will also be 0. This point is often referred to as the origin.
So, in conclusion, if a graph is proportional, it will display the characteristic of passing through the point (0, 0).