Question

simplify your answer and write it as a proper fraction, improper fraction, or integer. the graph shows a line with points (3, -3) and (6, -2).

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 points \((3, -3)\) and \((6, -2)\). Let \((x_1, y_1) = (3, -3)\) and \((x_2, y_2) = (6, -2)\).

Step3: Calculate slope

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

Answer:

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