Question

what is the slope of this line?
the coordinate plane with a line passing through (-2, 5) and (-1, 0)

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 points

We have two points: \( (-2, 5) \) (so \( x_1=-2, y_1 = 5 \)) and \( (-1, 0) \) (so \( x_2=-1, y_2 = 0 \)).

Step3: Substitute into formula

Substitute into the slope formula: \( m=\frac{0 - 5}{-1-(-2)}=\frac{-5}{-1 + 2}=\frac{-5}{1}=-5 \).

Answer:

\(-5\)