Question

find the slope of the line passing through the points (6, -3) and (1, -6).

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 \( (x_1, y_1)=(6, - 3) \) and \( (x_2, y_2)=(1, - 6) \).

Step3: Substitute into formula

Substitute values: \( m=\frac{-6 - (-3)}{1 - 6}=\frac{-6 + 3}{-5}=\frac{-3}{-5}=\frac{3}{5} \).

Answer:

\(\frac{3}{5}\)