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

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

Step3: Substitute into formula

Substitute values into the slope formula: \( m=\frac{-1 - 1}{3 - (-3)}=\frac{-2}{6} \).

Step4: Simplify the fraction

Simplify \(\frac{-2}{6}\) to \(\frac{-1}{3}\).

Answer:

\(-\frac{1}{3}\)