Question

find the slope of the line that passes through: (2, 4) and (6, 12) -1/2 2 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 \((x_1, y_1) = (2, 4)\) and \((x_2, y_2) = (6, 12)\).

Step3: Substitute into formula

\( m = \frac{12 - 4}{6 - 2} = \frac{8}{4} = 2 \).

Answer:

2 (corresponding to the option with "2")