Algebra-1

To determine whether the given data points represent a linear or nonlinear relationship, we can examine the relationship between the input (x) and output (y) values.

 

A linear relationship implies that the output values change at a constant rate as the input values change.

 

Let's calculate the ratios of change in y to change in x for the given data points:

 

Change in y for the first data point: 4 - 2 = 2

Change in x for the first data point: 1 - 0 = 1

Ratio of change in y to change in x for the first data point: 2/1 = 2

 

Change in y for the second data point: 8 - 4 = 4

Change in x f...