Question

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

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: Identify coordinates

Let \( (x_1, y_1) = (10, 1) \) and \( (x_2, y_2) = (5, 2) \).

Step3: Substitute into formula

Substitute values: \( m = \frac{2 - 1}{5 - 10} = \frac{1}{-5} = -\frac{1}{5} \).

Answer:

-1/5