Question

what is the slope of this line? (graph with points (-4, 1) and (4, -1))

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 points

Let \((x_1, y_1) = (-4, 1)\) and \((x_2, y_2) = (4, -1)\).

Step3: Substitute into formula

Substitute values: \( m = \frac{-1 - 1}{4 - (-4)} = \frac{-2}{8} \).

Step4: Simplify fraction

Simplify \( \frac{-2}{8} = -\frac{1}{4} \).

Answer:

\(-\frac{1}{4}\)