Question

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

We have points \((-3, 1)\) and \((-1, -3)\). Let \((x_1, y_1)=(-3, 1)\) and \((x_2, y_2)=(-1, -3)\).

Step3: Substitute into formula

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

Answer:

\(-2\)