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 the two points

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

Step3: Substitute into the formula

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

Step4: Simplify the expression

Simplify the numerator and denominator: \( 2 - 0 = 2 \) and \( 0 - (-4) = 4 \). So \( m = \frac{2}{4} = \frac{1}{2} \).

Answer:

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