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 two points

We have points \((-5, 1)\) and \((0, -1)\). Let \((x_1, y_1)=(-5, 1)\) and \((x_2, y_2)=(0, -1)\).

Step3: Substitute into formula

Substitute values: \( m=\frac{-1 - 1}{0 - (-5)}=\frac{-2}{5} \).

Answer:

\(-\frac{2}{5}\)