Answer: THIRD OPTION.
Explanation:
The slope can found by using the following formula:
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2020/formulas/mathematics/high-school/pj0y5tg37a7a9ase0auiwe687ez8iaw2vl.png)
In this case, in order to find the slope of the given function, we need to choose two points from the table provided in the exercise. Let's choose these points:
![(-2,-2)\\\\(2,10)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/uh7tobyifi8q6mbqw9mk024gy0ixuknwl5.png)
We can identify that:
![y_2=-2\\y_1=10\\\\x_2=-2\\x_1=2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rkxol48mdajsnur38mf2sdqr1rrskdkfuc.png)
Substituting these values into the formula, we get that the slope of the function is:
![m=(-2-10)/(-2-2)\\\\m=3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9kxqhsinhnavl2ogr6ui3n602u0z4zdce7.png)
This matches with the third option.