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 \((-4, 0)\) and \((0, 2)\). Let \((x_1, y_1)=(-4, 0)\) and \((x_2, y_2)=(0, 2)\).

Step3: Substitute into formula

Substitute values: \( m=\frac{2 - 0}{0 - (-4)}=\frac{2}{4}=\frac{1}{2} \).

Answer:

\(\frac{1}{2}\)