Question

what is the slope of the line that passes through the points (-4,2) and (-5,0)? write your answer in

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 \( (x_1, y_1)=(-4, 2) \) and \( (x_2, y_2)=(-5, 0) \).

Step3: Substitute into formula

Substitute values: \( m=\frac{0 - 2}{-5 - (-4)}=\frac{-2}{-5 + 4}=\frac{-2}{-1}=2 \).

Answer:

2