find the slope of the line passing through the points (-4, 6) and (3, -8).

Answer:

$-\frac{14}{7}=- 2$

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

Here, $x_1=-4,y_1 = 6,x_2=3,y_2=-8$.

Step3: Substitute values

$m=\frac{-8 - 6}{3-(-4)}=\frac{-14}{3 + 4}=\frac{-14}{7}=-2$.