Question

8 find the slope of the line that passes through (10,8) and (1,9). slope =

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 \((x_1, y_1)=(10, 8)\) and \((x_2, y_2)=(1, 9)\).

Step3: Substitute into formula

Substitute values: \( m=\frac{9 - 8}{1 - 10}=\frac{1}{-9}=-\frac{1}{9} \).

Answer:

\(-\frac{1}{9}\)