Question


Determine the initial value and the rate of change of the linear function as given in the graph.

(2 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 initial value is
The rate of change is
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1
-2
-3/4
3/4




Answers

GPT-4o mini
To determine the initial value and the rate of change of a linear function from a graph, the initial value (y-intercept) is typically found at the point where the line crosses the y-axis, and the rate of change (slope) can be calculated by taking two points on the line.

In this case, based on the given responses:

- The initial value is typically the y-value when x=0. If it is provided in the options, select the value that corresponds to the y-intercept.
- The rate of change is determined by the slope, which is represented as "rise over run."

Assuming you are looking at a graph and need to fill the responses based on your observations:

If you can identify the correct values from the provided options:

1. **The initial value is**: (select the appropriate y-intercept)
2. **The rate of change is**: (select the appropriate slope)

For example, if the line intersects the y-axis at 1, and if the slope is calculated to be -3/4, you would fill in the fields accordingly with the values selected from the given options.

Please refer to the specific graph for precise values. If you have more information or specific data points from the graph, I can help calculate those as well.