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 values to variables

Let $(x_1,y_1)=(2,5)$ and $(x_2,y_2)=(8,-4)$. Substitute into the formula:
$m=\frac{-4-5}{8-2}$

Step3: Calculate numerator and denominator

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

Step4: Simplify the fraction

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

Answer:

$-\frac{3}{2}$