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

We have points \((-5, 0)\) and \((0, 2)\). Let \((x_1, y_1) = (-5, 0)\) and \((x_2, y_2) = (0, 2)\).

Step3: Calculate slope

Substitute into the formula: \( m = \frac{2 - 0}{0 - (-5)} = \frac{2}{5} \).

Answer:

\(\frac{2}{5}\)