Determine the rate of change of the linear function given the table below.

Question

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 that goes through the points in the table.

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

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

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