Question

find the slope of the line passing through the points (-6, -5) and (4, 4).

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 \( (x_1, y_1)=(-6, -5) \) and \( (x_2, y_2)=(4, 4) \).

Step3: Substitute into formula

Substitute values: \( m=\frac{4 - (-5)}{4 - (-6)}=\frac{4 + 5}{4 + 6}=\frac{9}{10} \).

Answer:

\(\frac{9}{10}\)