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 points

Let \((x_1, y_1)=(-4, -1)\) and \((x_2, y_2)=(4, -3)\).

Step3: Substitute into formula

\( m=\frac{-3 - (-1)}{4 - (-4)}=\frac{-3 + 1}{4 + 4}=\frac{-2}{8} \).

Step4: Simplify the fraction

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

Answer:

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