Question

find the slope of the line passing through the points (2, 5) and (8, -4).

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 point values

Let $(x_1,y_1)=(2,5)$ and $(x_2,y_2)=(8,-4)$

Step3: Substitute into formula

$m=\frac{-4-5}{8-2}$

Step4: Calculate numerator and denominator

$m=\frac{-9}{6}=\frac{-3}{2}$

Answer:

$\frac{-3}{2}$