Question

find the slope of the line that passes through (10, 1) and (1, 9). 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 $(x_1,y_1)=(10,1)$ and $(x_2,y_2)=(1,9)$. Substitute into the formula:
$m=\frac{9-1}{1-10}$

Step3: Calculate numerator and denominator

Compute numerator: $9-1=8$
Compute denominator: $1-10=-9$
So $m=\frac{8}{-9}=-\frac{8}{9}$

Answer:

$-\frac{8}{9}$