Question

what is the slope of this line? 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 two points

Use points \((2, 4)\) and \((6, 2)\). Let \((x_1, y_1) = (2, 4)\) and \((x_2, y_2) = (6, 2)\).

Step3: Substitute into formula

\( m = \frac{2 - 4}{6 - 2} = \frac{-2}{4} \).

Step4: Simplify the fraction

\( \frac{-2}{4} = -\frac{1}{2} \).

Answer:

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