Question

graphs and functions
finding slope given two points on a line
find the slope of the line passing through the points (-5, -2) and (3, -9).

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 \((x_1, y_1) = (-5, -2)\) and \((x_2, y_2) = (3, -9)\).

Step3: Substitute into formula

\( m = \frac{-9 - (-2)}{3 - (-5)} = \frac{-9 + 2}{3 + 5} = \frac{-7}{8} \).

Answer:

\(-\frac{7}{8}\)