Question

find the slope of the line that passes through (10, 10) and (1, 2). simplify your answer and write it as a proper fraction, improper fraction, or integer.

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 $(x_1,y_1)=(10,10)$ and $(x_2,y_2)=(1,2)$.

Step3: Substitute into formula

$m=\frac{2-10}{1-10}=\frac{-8}{-9}$

Step4: Simplify the fraction

$\frac{-8}{-9}=\frac{8}{9}$

Answer:

$\frac{8}{9}$