Question

find the slope of the line that passes through (10, -8) and (1, 12). 20/9 -20/9 9/4 4/9

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 \( (x_1, y_1)=(10, -8) \) and \( (x_2, y_2)=(1, 12) \).

Step3: Substitute into formula

Substitute values: \( m=\frac{12 - (-8)}{1 - 10}=\frac{12 + 8}{-9}=\frac{20}{-9}=-\frac{20}{9} \).

Answer:

B. -20/9