Question

find the slope of the line passing through the points (9, -6) and (2, -8).

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 \((x_1, y_1)=(9, -6)\) and \((x_2, y_2)=(2, -8)\).

Step3: Substitute into formula

Substitute values: \( m=\frac{-8 - (-6)}{2 - 9}=\frac{-8 + 6}{-7}=\frac{-2}{-7}=\frac{2}{7} \).

Answer:

\(\frac{2}{7}\)