Question

find the slope of the line through the two points: (9, -4) and (2, -1)

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify coordinates

Let \( (x_1, y_1)=(9, - 4) \) and \( (x_2, y_2)=(2, - 1) \).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{-1-(-4)}{2 - 9}=\frac{-1 + 4}{-7}=\frac{3}{-7}=-\frac{3}{7} \).

Answer:

\(-\frac{3}{7}\)