Use finite differences to determine if each relation is linear or quadratic. x: -4,-3,-2,-1,0,1,2. Y: -3,-1,1,3,5,7,9. Is the relationship quadratic or linear

To determine if the relationship between x and y is linear or quadratic, we can examine the differences between consecutive y-values.

First differences:
1-(-3) = 4
3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2

The first differences are all equal, indicating a linear relationship.

Therefore, the relationship between x and y is linear.