Algebra-1

The relationship between x and y in this data set is Linear.

Here’s why:

Constant Difference: Calculate the difference between consecutive y values:

From x = 1 to x = 4, 9 - (-3) = 12 

From x = 4 to x = 7, 15 - 9 = 6 

From x = 7 to x = 10, 21 - 15 = 6 

The difference between y values from x = 4 onward is consistent at 6.