Question

find the slope of the line that passes through (1, 10) and (10, 9). simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope formula

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

Step2: Assign coordinates

Let $(x_1,y_1)=(1,10)$, $(x_2,y_2)=(10,9)$

Step3: Calculate numerator

$y_2 - y_1 = 9 - 10 = -1$

Step4: Calculate denominator

$x_2 - x_1 = 10 - 1 = 9$

Step5: Compute slope

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

Answer:

$-\frac{1}{9}$