Answer:
option C
Explanation:
Given table is a linear function when the change in y to change is x is a constant.
From the tables, difference of x is a constant 1
Lets look at the difference of y values
First table
We find the change in y values
![-6+2=-4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/wtshqvj0ftfsx6wbijhfbrdr0wbq15lpf1.png)
![-2+6=+4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/50rq09dbmreu19ehl4o7c9p9urtbtttyyg.png)
the difference is not a constant. So it is not a linear
Second table
![-5+2=3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lu28vw8cvgz71kj1qs5bsmmlb7uksov72w.png)
![-9+5= 4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/n311npjoweszhvyrwy80do3nvw3x24p296.png)
the difference is not a constant. So it is not a linear
Third table
![-10+2= -8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/j0e2y0kwcl4sqn600ptj6nvgl66e6v41wg.png)
![-18+10=-8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zp2umkdxik0kktwkprw3ktekdxtfum2mx4.png)
![-26+18= -8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7ze5t0hlo26frrt36qhcqze229e8o1on59.png)
the difference is a constant. So it is a linear function.