Question

Determine the rate of change of the linear function given the table below
x y
-3 -10
-2 -7
-1 -4
0 -1
1 2

Answer 1

To determine the rate of change of the linear function, we need to find the slope of the line passing through the points given in the table.

Using the points (-3, -10) and (1, 2):

Slope = (y2 - y1) / (x2 - x1)
Slope = (2 - (-10)) / (1 - (-3))
Slope = (2 + 10) / (1 + 3)
Slope = 12 / 4
Slope = 3

Therefore, the rate of change of the linear function given the table is 3.