Use the image to answer the question.

Question

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

(1 point)
Responses

The initial value is −6, and the rate of change is 2.
The initial value is negative 6 , and the rate of change is 2.

The initial value is 2, and the rate of change is 2.
The initial value is 2, and the rate of change is 2.

The initial value is 0, and the rate of change is 2.
The initial value is 0, and the rate of change is 2.

The initial value is 0, and the rate of change is 12.

Answer 1

To determine the initial value and the rate of change of the linear function from the graph, I need to know the y-intercept (initial value) and the slope (rate of change).

• The initial value (y-intercept) is the value of the function when \(x = 0\).
• The rate of change (slope) is determined by how much \(y\) changes for a given change in \(x\).

Since I do not have access to the image itself, I can't provide a definitive answer. However, based on the provided options:

1. The initial value is −6, and the rate of change is 2.
2. The initial value is 2, and the rate of change is 2.
3. The initial value is 0, and the rate of change is 2.
4. The initial value is 0, and the rate of change is 12.

You should identify the values from the graph to choose the correct option. If the graph shows that the line crosses the y-axis at -6 and has a slope of 2, then the correct response would be the first one. If it intersects at 0 with a slope of 2, then the third option would be correct. Please refer to the graph to select the appropriate answer.