If a graph is proportional, what characteristic does it display?(1 point)
Responses
It will pass through the point (0, 0).
It will pass through the point Left Parenthesis 0 comma 0 Right Parenthesis .
It will climb rapidly, indicating a steep slope.
It will climb rapidly, indicating a steep slope.
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.
sure??
I apologize for the confusion. If a graph is proportional, it will pass through the point (0, 0) or (0,0). This means that when x=0, y will also be 0.
so what is the answer??
The characteristic that a graph displays if it is proportional is that it will pass through the point (0, 0).
To determine the characteristic of a graph that is proportional, we need to understand what it means for a graph to be proportional. A graph is considered proportional if it represents a direct relationship between two variables, where the ratio of their values remains constant.
Now, let's address the options one by one:
1. "It will pass through the point (0, 0)."
- This option is correct. A graph that is proportional will always pass through the origin, which is the point (0, 0) on the coordinate plane. This means that when both variables have a value of zero, the point will lie on the graph.
2. "It will climb rapidly, indicating a steep slope."
- This option is incorrect. A graph that is proportional does not necessarily have a steep slope. In fact, proportional graphs generally have a consistent, gradual increase as the variables increase.
3. "It will curve."
- This option is incorrect. A graph that is proportional will not curve. It will remain a straight line passing through (0, 0) without any bends or turns.
4. "It will have y-values larger than their corresponding x-values."
- This option is incorrect. A proportional graph does not indicate that the y-values will always be larger than their corresponding x-values. The proportionality only refers to the constant ratio relationship between the two variables, not their specific values.
Therefore, the correct characteristic of a proportional graph is that it will pass through the point (0, 0).