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 \((-6, 0)\) and \((-3, -3)\). Let \((x_1, y_1)=(-6, 0)\) and \((x_2, y_2)=(-3, -3)\).

Step3: Substitute into formula

Substitute values: \( m=\frac{-3 - 0}{-3 - (-6)}=\frac{-3}{3}=-1 \).

Answer:

\(-1\)