Question

find the slope of the line passing through the points (-4, -4) and (2, 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 \( (x_1, y_1)=(-4, -4) \) and \( (x_2, y_2)=(2, 5) \).

Step3: Substitute into formula

Substitute values: \( m=\frac{5 - (-4)}{2 - (-4)}=\frac{5 + 4}{2 + 4}=\frac{9}{6} \).

Step4: Simplify fraction

Simplify \( \frac{9}{6} \) to \( \frac{3}{2} \).

Answer:

\(\frac{3}{2}\)