find the slope of the line that passes through: (10, 1) and (5, 2)

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 $(x_2,y_2)=(5,2)$. Substitute into formula: $m=\frac{2-1}{5-10}$

Step3: Calculate numerator and denominator

$m=\frac{1}{-5}$

Step4: Simplify the fraction

$m=-\frac{1}{5}$

Answer:

$-\frac{1}{5}$ (corresponding to the bottom option: $-\frac{1}{5}$)