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

Step3: Substitute into formula

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

Step4: Simplify

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

Answer:

\(-3\)