Question

what is the slope of the line that passes through the points (2, 8) and (12, 20)? write your answer in simplest form.

Explanation:

Step1: Recall slope formula

The slope $m$ of a line passing through 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 points

Here $x_1 = 2,y_1=8,x_2 = 12,y_2 = 20$.

Step3: Substitute values

$m=\frac{20 - 8}{12 - 2}=\frac{12}{10}$.

Step4: Simplify the fraction

$\frac{12}{10}=\frac{6}{5}$.

Answer:

$\frac{6}{5}$