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

Explanation:

Step1: Recall slope formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

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

Step3: Substitute values into formula

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

Answer:

$-\frac{7}{5}$