Question

find the slope of the line passing through the points (-7, -7) and (-3, 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 \( (x_1, y_1)=(-7, -7) \) and \( (x_2, y_2)=(-3, 6) \).

Step3: Substitute into formula

Substitute values: \( m=\frac{6 - (-7)}{-3 - (-7)}=\frac{6 + 7}{-3 + 7}=\frac{13}{4} \).

Answer:

\(\frac{13}{4}\)