Question

find the slope of the line that passes through (3, 2) and (5, 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 coordinates

Let $(x_1,y_1)=(3,2)$ and $(x_2,y_2)=(5,1)$.

Step3: Calculate slope

$m=\frac{1-2}{5-3}=\frac{-1}{2}=-\frac{1}{2}$

Answer:

$-\frac{1}{2}$