Question

what is the slope of this line? (4, 12) (-4, -20)

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 points \((4, 12)\) and \((-4, -20)\). Let \((x_1, y_1) = (4, 12)\) and \((x_2, y_2) = (-4, -20)\).

Step3: Substitute into the formula

\( m = \frac{-20 - 12}{-4 - 4} = \frac{-32}{-8} \)

Step4: Simplify the fraction

\( \frac{-32}{-8} = 4 \)

Answer:

4