Question

1. (-7, 0), (-2, -4)

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify coordinates

Here, \( x_1=-7 \), \( y_1 = 0 \), \( x_2=-2 \), \( y_2=-4 \).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{-4 - 0}{-2-(-7)}=\frac{-4}{-2 + 7}=\frac{-4}{5}=-\frac{4}{5} \).

Answer:

The slope of the line passing through \((-7,0)\) and \((-2,-4)\) is \(-\frac{4}{5}\).