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

From the graph, we have points \((0, -2)\) and \((3, 2)\). Let \((x_1, y_1)=(0, -2)\) and \((x_2, y_2)=(3, 2)\).

Step3: Calculate the slope

Substitute into the formula: \( m=\frac{2 - (-2)}{3 - 0}=\frac{2 + 2}{3}=\frac{4}{3} \).

Answer:

\(\frac{4}{3}\)