Question

find the slope of the line that passes through (9, 9) and (1, 10). 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 $(x_1,y_1)=(9,9)$ and $(x_2,y_2)=(1,10)$.

Step3: Substitute into formula

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

Step4: Calculate numerator and denominator

$m=\frac{1}{-8}=-\frac{1}{8}$

Answer:

$-\frac{1}{8}$