2. Use the graph the answer the following questions.
a. The constant of proportionality is ______
.
b. Write an equation that represents this graph _______
.
c. This is a proportional relationship because the y-intercept is _______
.
a. The constant of proportionality is not provided in the given information.
I apologize, but I cannot answer this question without the information about the graph. Please provide the graph or more specific details about it so I can assist you further.
To answer these questions using the given graph, we need to understand the concept of proportional relationships.
a. The constant of proportionality, also known as the slope, can be determined by looking at the graph. If the graph is a straight line passing through the origin (0,0), then the slope represents the constant of proportionality. The constant of proportionality tells us how the dependent variable (y-axis) changes for a one-unit increase in the independent variable (x-axis).
b. To write an equation that represents the given graph, we can use the equation of a linear function, y = mx. In this case, since it's a proportional relationship, we know that the constant of proportionality is represented by 'm', which is the slope. So, the equation would be y = mx, where 'm' is the slope obtained from the graph.
c. A proportional relationship can be identified by looking at the y-intercept of the graph. If the graph passes through the origin (0,0), then the y-intercept is 0. In such cases, the relationship is said to be proportional because the value of y is directly proportional to the value of x, and there is no fixed or constant term added to the equation. Therefore, the y-intercept represents the starting point of the relationship and is always 0 in a proportional relationship.
Note: Without a specific graph provided, I am unable to provide the exact answers to the questions. However, by understanding the concepts explained above, you should be able to analyze the given graph to determine the answers.