Question

x y

-3 4
0 3
3 2
6 1
Determine the initial value and the rate of change of the linear function as given in the graph. Round the answer to three decimal places as needed.

(1 point)
The rate of change is m=
and the initial value is b=

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine the rate of change (slope) of the linear function, we can use the formula:

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

Choosing two points, let's use (-3, 4) and (0, 3):

m = (3 - 4) / (0 - (-3))
m = -1 / 3
m = -0.333

Therefore, the rate of change (slope) of the linear function is -0.333.

To determine the initial value (y-intercept), we can use the formula for the equation of a line, y = mx + b, and plug in one of the points. Let's use (0, 3):

3 = (-0.333)(0) + b
3 = b

Therefore, the initial value (y-intercept) of the linear function is 3.