-5 -4 -3 -2 -1

--5-
-4-
3
со
У
-2-
1-
-0
--2
-1.
0
--3-
LO
--4-
--5-
(0,0)
1
2
(2,3)
со-
3
4
5
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

1 answer

To determine the initial value and rate of change of the linear function, we need to identify two points on the graph. By looking at the graph, we can see that the point (0,0) and the point (2,3) are both on the line.

The initial value is the y-coordinate when x = 0. From the graph, we can see that at x = 0, y = 0. Therefore, the initial value is 0.

The rate of change is determined by calculating the slope of the line between the two points. The slope is found by using the formula:

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

For the points (0,0) and (2,3), the change in y is 3 - 0 = 3, and the change in x is 2 - 0 = 2. 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.