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

Explanation:

Step1: Recall slope - formula

The slope formula for 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 values of $x_1,y_1,x_2,y_2$

Here, $x_1 = 2,y_1 = 4,x_2 = 6,y_2 = 12$.

Step3: Substitute the values into the formula

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

Step4: Simplify the fraction

$\frac{8}{4}=2$.

Answer:

2