the table represents a linear function. what is the slope of the function? -8 -4 2 5

Explanation:

Step1: Select two points

Select two points from the table, say ((x_1,y_1)=(-4,-2)) and ((x_2,y_2)=(-2,-10)).

Step2: Use the slope formula

The slope formula is (m = \frac{y_2 - y_1}{x_2 - x_1}). Substitute the values: (m=\frac{-10 - (-2)}{-2-(-4)}).

Step3: Simplify the numerator and denominator

Numerator: (-10 + 2=-8). Denominator: (-2 + 4 = 2). So (m=\frac{-8}{2}=-4).

Answer:

-4