Question

what is the slope of this line? the coordinate grid has a line passing through points (-2, 5) and (-1, 0), with the y-axis and x-axis labeled and grid lines present.

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

Let \((x_1, y_1)=(-2, 5)\) and \((x_2, y_2)=(-1, 0)\).

Step3: Substitute into formula

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

Answer:

-5