Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer.

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 the points

Let \((x_1, y_1) = (-4, 8)\) and \((x_2, y_2) = (2, -4)\).

Step3: Substitute into formula

Substitute the values into the slope formula:
\( m = \frac{-4 - 8}{2 - (-4)} \)

Step4: Simplify numerator and denominator

Simplify numerator: \(-4 - 8 = -12\)
Simplify denominator: \(2 - (-4) = 2 + 4 = 6\)

Step5: Calculate slope

\( m = \frac{-12}{6} = -2 \)

Answer:

\(-2\)