Question

find the slope of the line that passes through the points (2, 4) and (6, 12)

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

Here, \( x_1 = 2 \), \( y_1 = 4 \), \( x_2 = 6 \), \( y_2 = 12 \).

Step3: Substitute into formula

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

Answer:

2