use the graph to answer the question: (0, 0), (2, 3)

Question

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

the initial value is ____, and the rate of change is _____

Answer 1

To find the initial value (y-intercept), we can look at the point (0, 0) on the graph. This point represents where the line intersects the y-axis.

So, the initial value is 0.

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

slope = (change in y) / (change in x)

Given the points (0, 0) and (2, 3), we have a change in y of 3 - 0 = 3 and a change in x of 2 - 0 = 2.

Therefore, the rate of change is:

slope = 3/2 = 1.5

So, the initial value is 0 and the rate of change is 1.5.