Question

what is the slope of the line that passes through the points (1, 6) and (13, 2)? write your answer in simplest form.

Explanation:

Step1: Recall slope - formula

The slope formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 1,y_1=6,x_2 = 13,y_2 = 2$.

Step2: Substitute values

Substitute the values into the formula: $m=\frac{2 - 6}{13 - 1}=\frac{-4}{12}$.

Step3: Simplify the fraction

Simplify $\frac{-4}{12}$ by dividing both the numerator and denominator by their greatest - common divisor, which is 4. So, $m=-\frac{1}{3}$.

Answer:

$-\frac{1}{3}$