Question

se 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)
The rate of change is m=
, and the initial value is b=
.
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page 26 of 28

Answer 1

To find the rate of change (m), we need to calculate the difference in y-values divided by the difference in x-values.

Using the table, we can see that the difference in y-values is 8 - 4 = 4, and the difference in x-values is -3 - 1 = -4.

So, the rate of change is m = 4 / -4 = -1.

To find the initial value (b), we can use the formula y = mx + b and substitute the values from one of the points. Let's use the point (1, 4).

4 = -1 * 1 + b

4 = -1 + b

b = 4 + 1

b = 5

Therefore, the initial value is b = 5.

The rate of change is m = -1, and the initial value is b = 5.