Question

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

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: Assign values to variables

Let $(x_1,y_1)=(-4,6)$ and $(x_2,y_2)=(3,-8)$. Substitute into formula:
$m=\frac{-8-6}{3-(-4)}$

Step3: Calculate numerator and denominator

Numerator: $-8-6=-14$; Denominator: $3-(-4)=3+4=7$

Step4: Simplify the fraction

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

Answer:

$-2$