Question

Use the table to answer the question.

Determining the starting value and rate of change from a given value table.
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=

.

Answer 1

m = 2, b = 2

Work: m = (8−4)/(3−1) = 4/2 = 2. Then 4 = 2(1) + b ⇒ b = 2.