Question

(-3,2.5), (0,1), (2,0)
Determine the initial value and the rate of change of the linear function as given in the graph

The initial value is _____, and the rate of change is____.

Answer 1

To determine the initial value, we can look at the point where the graph intersects the y-axis. In this case, the y-intercept is when x=0, which is the point (0,1). So, the initial value is 1.

To determine the rate of change, we can calculate the slope using two points on the graph. We can use the points (-3, 2.5) and (2, 0).

Slope = (y2 - y1) / (x2 - x1)
Slope = (0 - 2.5) / (2 - (-3))
Slope = -2.5 / 5
Slope = -0.5

So, the rate of change is -0.5.

Therefore, the initial value is 1 and the rate of change is -0.5 for the linear function shown in the graph.