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 \((-6, 12)\) and \((6, -24)\). Let \((x_1, y_1)=(-6, 12)\) and \((x_2, y_2)=(6, -24)\).

Step3: Substitute into formula

\( m=\frac{-24 - 12}{6 - (-6)}=\frac{-36}{12} \).

Step4: Simplify the fraction

\(\frac{-36}{12}=-3\).

Answer:

\(-3\)