Question

find the slope of the line that passes through (10, 10) and (1, 5). 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 values to variables

Let $(x_1,y_1)=(10,10)$ and $(x_2,y_2)=(1,5)$. Substitute into formula:
$m=\frac{5-10}{1-10}$

Step3: Calculate numerator and denominator

$m=\frac{-5}{-9}$

Step4: Simplify the fraction

$m=\frac{5}{9}$

Answer:

$\frac{5}{9}$