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

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

Step3: Substitute into formula

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

Answer:

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