5.) (2,-8) (-2, -1) m =

Explanation:

Step1: Recall slope formula

The slope ( m ) between two points ((x_1, y_1)) and ((x_2, y_2)) is ( m=\frac{y_2 - y_1}{x_2 - x_1} ).

Step2: Identify coordinates

Let ((x_1, y_1)=(2, -8)) and ((x_2, y_2)=(-2, -1)).

Step3: Substitute into formula

Substitute values: ( m=\frac{-1 - (-8)}{-2 - 2} ). Simplify numerator: (-1 - (-8)=-1 + 8 = 7). Simplify denominator: (-2 - 2=-4). So ( m = \frac{7}{-4}=-\frac{7}{4} ).

Answer:

(-\frac{7}{4})