Question

find the slope of the line that passes through (6, 1) and (1, 3). simplify your answer and write it as a proper fraction, improper fraction, or integer.

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 values to variables

Let $(x_1,y_1)=(6,1)$ and $(x_2,y_2)=(1,3)$. Substitute into formula:
$m=\frac{3-1}{1-6}$

Step3: Calculate numerator and denominator

$m=\frac{2}{-5}$

Step4: Simplify the fraction

$m=-\frac{2}{5}$

Answer:

$-\frac{2}{5}$