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: Identify coordinates

Here, \( (x_1, y_1)=(3, 2) \) and \( (x_2, y_2)=(5, 1) \).

Step3: Substitute into formula

Substitute values: \( m=\frac{1 - 2}{5 - 3}=\frac{-1}{2} \).

Answer:

\( -\frac{1}{2} \)