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: Assign point values

Let $(x_1,y_1)=(2,4)$ and $(x_2,y_2)=(6,12)$

Step3: Substitute into formula

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

Step4: Simplify the fraction

$m=2$

Answer:

2 (the blue option with value 2)