Question

find the slope of the line passing through the points (-9, -6) and (-4, 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 \( (x_1, y_1)=(-9, -6) \) and \( (x_2, y_2)=(-4, 5) \).

Step3: Substitute into formula

\( m=\frac{5 - (-6)}{-4 - (-9)}=\frac{5 + 6}{-4 + 9}=\frac{11}{5} \).

Answer:

\(\frac{11}{5}\)