Question

Use the table to answer the question.

Determining the Rate of Change and Initial Value from x and y Values
x
y
2 22
8 25
Determine the rate of change and the initial value of the linear function given here as a table of values.

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

Answer 1

m = 1/2, b = 21

Work: m = (25−22)/(8−2) = 3/6 = 1/2. Then 22 = (1/2)(2) + b ⇒ b = 22 − 1 = 21.