Question

what is the slope of this line? the coordinate system has a grid, the line passes through (0, 0) and (-4, -16).

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 two points

We have points \((0, 0)\) and \((-4, -16)\). Let \((x_1, y_1)=(0, 0)\) and \((x_2, y_2)=(-4, -16)\).

Step3: Substitute into formula

\( m=\frac{-16 - 0}{-4 - 0}=\frac{-16}{-4}=4 \).

Answer:

4