Question

Use the graph to match the responses.

(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
The y-intercept
An equation that represents this graph.
The constant of proportional
1/2
1
(0,2)
(0,0)
y=1/2x
0
y=x
y = 2x
2
(2,0)
(0,1)

Answer 1

To match the responses correctly based on the provided prompts, we can analyze the typical components of linear graphs and equations.

1. **The y-intercept**: This is the point where the graph intersects the y-axis. In your provided responses, the y-intercept could be (0, 2) or (0, 0). For a graph that represents a line, the y-intercept is often the point where x=0. Assuming this is a typical coordinate graph, we can use the provided options. Without a visual, I'll presuppose a common scenario: if there is a y-intercept at (0, 2), then "The y-intercept" response is **(0, 2)**.

2. **An equation that represents this graph**: This usually takes the form of y = mx + b, where m represents the slope and b the y-intercept. Given your responses, if the graph is linear and assuming a slope of 1/2, the equation representing it could likely be **y = 1/2x**.

3. **The constant of proportionality**: This term is specifically relevant in equations of the form y = kx, where k is the constant of proportionality. Assuming here the slope is 1/2 from the earlier equation, the constant of proportionality is likely **1/2**.

So, the final matches would be:
- **The y-intercept**: **(0, 2)**
- **An equation that represents this graph**: **y = 1/2x**
- **The constant of proportionality**: **1/2**.

If there were specific graphs or more context available, we could refine these responses further, but based on typical interpretations, these should be accurate.