Question

what is the slope of the line that passes through the points (4, 8) and (8, 6)? write your answer in simplest form. answer attempt 1 out of 2

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

Let \( (x_1, y_1)=(4, 8) \) and \( (x_2, y_2)=(8, 6) \).

Step3: Substitute into formula

Substitute values: \( m=\frac{6 - 8}{8 - 4}=\frac{-2}{4} \).

Step4: Simplify fraction

Simplify \( \frac{-2}{4} \) to \( -\frac{1}{2} \).

Answer:

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