Question

find the slope of the line that passes through the following points: (4, 1) (-2, -2)

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 coordinates

Let \((x_1, y_1)=(4, 1)\) and \((x_2, y_2)=(-2, -2)\).

Step3: Substitute into formula

Substitute values: \( m=\frac{-2 - 1}{-2 - 4}=\frac{-3}{-6} \).

Step4: Simplify fraction

Simplify \(\frac{-3}{-6}=\frac{1}{2}\).

Answer:

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