Question

find the slope of the line that passes through (5, 10) and (8, 8). simplify your answer and write it as a proper fraction, improper fraction, or integer.

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 $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Let $(x_1,y_1)=(5,10)$ and $(x_2,y_2)=(8,8)$.

Step3: Substitute values into formula

$m=\frac{8 - 10}{8 - 5}=\frac{-2}{3}$.

Answer:

$-\frac{2}{3}$