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: slope m = (8 − 4)/(3 − 1) = 4/2 = 2.
Use y = mx + b: 4 = 2(1) + b → b = 2.