(0,0) to (2,3)

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

(1 point)
The initial value is , and the rate of change is .

2 answers

To find the initial value, we need to find the y-intercept of the linear function. The y-intercept is the value of y when x is zero. From the graph, we can see that when x is zero, y is also zero. Therefore, the initial value (y-intercept) is 0.

To find the rate of change, we can use the formula:

Rate of change = (change in y) / (change in x)

From the graph, we can see that when x increases by 2 units (from 0 to 2), y increases by 3 units (from 0 to 3). Therefore, the rate of change is:

Rate of change = 3 / 2 = 1.5

So, the initial value is 0 and the rate of change is 1.5.
(-3,2.5) to (0,1) to (2,0)
Determine the initial value and the rate of change of the linear function given in the graph.

(1 point)
The initial value is , and the rate of change is .