Question

find the slope of the line passing through the points (3, 4) and (8, -3).

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 \((x_1, y_1)=(3, 4)\) and \((x_2, y_2)=(8, - 3)\).

Step3: Substitute into formula

Substitute values: \( m=\frac{-3 - 4}{8 - 3}=\frac{-7}{5}=-\frac{7}{5} \).

Answer:

\(-\frac{7}{5}\)