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 \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Let \((x_1, y_1)=(2, - 8)\) and \((x_2, y_2)=(-2, - 1)\).

Step2: Substitute values into formula

Substitute \( x_1 = 2,y_1=-8,x_2=-2,y_2 = - 1 \) into the slope formula:
\( m=\frac{-1-(-8)}{-2 - 2} \)

Step3: Simplify numerator and denominator

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

Answer:

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