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 the slope formula

The slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by \( m = \frac{y_2 - y_1}{x_2 - x_1} \).

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 slope formula

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

Step4: Simplify the expression

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

Step5: Reduce the fraction

Simplify \( \frac{2}{4} \) to \( \frac{1}{2} \).

Answer:

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