Question

practice
(5,6) and (2,8)
x1 y1 x2 y2
\\(\frac{8 - 6}{2 - 5} = \frac{2}{-3}\\)

Explanation:

Step1: Identify slope formula

The slope between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $\frac{y_2-y_1}{x_2-x_1}$.

Step2: Assign point values

Let $(x_1,y_1)=(5,6)$ and $(x_2,y_2)=(2,8)$.

Step3: Substitute into formula

$\frac{8-6}{2-5}=\frac{2}{-3}$

Step4: Simplify the fraction

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

Answer:

$-\frac{2}{3}$