1. Rate of Change
The rate of change is the change in y-values over the change in x-values.

2. Example 1
Determine the rate of change and start value from the input-output table.
Choose two ordered pairs.
Calculate the rate of change.
Start Value: 4

3. Example 2 The rate of change in the table is −2. Find the start value.
Rewrite the table to include x-coordinates to 0.
Work backwards.
The start value is 10.

4. Example 3 Find the start value and the rate of change for the input-
output table.
Select two pairs of numbers.
Calculate the rate of change.
Rate of Change: Add 4

5. Example 3 (continued)
Find the start value and the rate of change for the input-output table.
Work forwards from x = −2
Start Value is −1

6. Then write an equation in y = mx + b form.

7. Exit Problems
Determine the rate of change, start value, and equation for each table. x y −5 1 2 7 3 13 4 19 x y −1 22 1 14 3 6 −6 7
−10