Question

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:

\(-\frac{7}{4}\)