Question

Use the table to answer the question.

x y
1 4
−3 8
Find the rate of change and the initial value of the linear function given as a table of values. (1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the rate of change, we need to determine the change in y divided by the change in x between the two points given:

Rate of change = (change in y) / (change in x)
Rate of change = (8 - 4) / (-3 - 1)
Rate of change = 4 / -4
Rate of change = -1

Therefore, the rate of change for the linear function is -1.

To find the initial value (y-intercept), we can use one of the points provided in the table. Let's use the point (1, 4):

y = mx + b
4 = -1(1) + b
4 = -1 + b
b = 5

Therefore, the initial value (y-intercept) for the linear function is 5.

Answer 2

what is the answer for x

Answer 3

[AI-generated answer — Bot GPT 3.5]

In the table of values provided, the initial value of x is -3.