Unit Rates & Proportions Unit Test 9 of 159 of 15 Items Question If a graph is proportional, what characteristic does it display?(1 point) Responses It will climb rapidly, indicating a steep slope. It will climb rapidly, indicating a steep slope. It will have y-values larger than their corresponding x-values. It will have y -values larger than their corresponding x -values. It will pass through the point (0, 0). It will pass through the point Left Parenthesis 0 comma 0 Right Parenthesis . It will curve.
The correct answer is: It will pass through the point (0, 0).
A graph is proportional if it represents a linear relationship, meaning that for every increase in the x-value, there is a corresponding increase in the y-value. This relationship is shown by the graph passing through the origin point (0, 0), indicating that when x is 0, y is also 0.
If a graph is proportional, it will have y-values that are larger than their corresponding x-values and it will pass through the point (0,0).
To determine the characteristic of a graph that indicates proportionality, we need to understand the concept of proportional relationships. A proportional relationship means that two quantities are related in such a way that the ratio between them remains constant.
In the context of a graph, if the graph represents a proportional relationship, it will have a specific characteristic. Let's go through each response option to determine which one fits the description.
1. "It will climb rapidly, indicating a steep slope." - This response does not accurately describe a proportional graph. The graph being proportional does not necessarily mean it will have a steep slope.
2. "It will have y-values larger than their corresponding x-values." - This response does not accurately describe a proportional graph either. The values of y and x on the graph can vary, but the constant ratio between them remains the same.
3. "It will pass through the point (0, 0)." - This is the correct response. For a graph to be proportional, it must pass through the origin point (0, 0), which represents the absence of both x and y values.
4. "It will curve." - This response does not accurately describe a proportional graph. A proportional graph will not curve; it will have a linear relationship between the x and y values.
Based on the explanations above, the correct characteristic that a proportional graph displays is that it will pass through the point (0, 0).