each table represents a linear relationship. Use the slope formula to find the slope or rate change shown in each table.
14
68
10
48
6
28
2
8
X
1 2 3 4
Y 14 10 6 2
To find the slope, we use the formula:
slope = (change in Y) / (change in X)
For the first two points:
slope = (10-14) / (2-1) = -4 / 1 = -4
For the next two points:
slope = (6-10) / (3-2) = -4 /1 = -4
For the last two points:
slope = (2-6) / (4-3) = -4 / 1 = -4
Therefore, the rate of change for each table is -4.