identify the slope of the linear function shown in the table.

Explanation:

Step1: Select two points

Select two points ((x_1,y_1)) and ((x_2,y_2)) from the table. Let's take ((x_1=-2,y_1 = 2)) and ((x_2=-1,y_2=6)).

Step2: Use the slope formula

The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Substitute the values: (m=\frac{6 - 2}{-1-(-2)}=\frac{4}{-1 + 2}).

Step3: Calculate the slope

Simplify (\frac{4}{-1 + 2}=\frac{4}{1}=4).

Answer:

(4)