Question

find the slope of the line that passes through (6, 3) and (3, 1). 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 point values

Let $(x_1,y_1)=(6,3)$ and $(x_2,y_2)=(3,1)$

Step3: Substitute into formula

$m=\frac{1-3}{3-6}=\frac{-2}{-3}$

Step4: Simplify the fraction

$\frac{-2}{-3}=\frac{2}{3}$

Answer:

$\frac{2}{3}$