Determine the initial value and the rate of change of the linear function as given in the graph. Round the answer to three decimal places as needed.
(1 point)
In order to determine the initial value and the rate of change of the linear function, we need to look at the graph and find two points on the line.
From the graph, it looks like the line passes through the points (0, -2) and (4, 2).
The initial value is the y-coordinate of the point where the line intersects the y-axis. In this case, it is -2.
The rate of change is the slope of the line, which can be calculated using the formula:
slope = (change in y)/(change in x)
In this case, we can use the coordinates (0, -2) and (4, 2) to calculate the slope:
slope = (2 - (-2))/(4 - 0) = 4/4 = 1
Therefore, the initial value is -2 and the rate of change is 1.