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 \((x_1, y_1)=(-3, 2)\) and \((x_2, y_2)=(3, -2)\).

Step3: Substitute into formula

\( m=\frac{-2 - 2}{3 - (-3)}=\frac{-4}{6}=\frac{-2}{3} \).

Answer:

\(-\frac{2}{3}\)