find the slope of the given table

Explanation:

Step1: Select two points

Select two points from the table, say ((x_1,y_1)=(-3,-12)) and ((x_2,y_2)=(-1,-4)).

Step2: Use the slope formula

The slope formula is (m = \frac{y_2 - y_1}{x_2 - x_1}). Substitute the values: (m=\frac{-4-(-12)}{-1-(-3)}). Simplify numerator: (-4 + 12=8). Simplify denominator: (-1+3 = 2). So (m=\frac{8}{2}=4).

Answer:

(4)