Determine the initial value and the rate of change of the linear function given in the graph.
On the graph is a line with the points (-3.25), (0,1) and (2,0)
The initial value is □, and the rate of change is □
The initial value can be found by looking at the y-intercept of the line, which is the point (0,1). Therefore, the initial value of the linear function is 1.
The rate of change (slope) can be found by calculating the change in y divided by the change in x between any two points on the line. Using the points (0,1) and (2,0), we can calculate the rate of change as follows:
Rate of change = (change in y) / (change in x)
Rate of change = (0 - 1) / (2 - 0)
Rate of change = -1 / 2
Rate of change = -0.5
Therefore, the rate of change of the linear function is -0.5.