Question

what is the slope of this line?\
(graph with coordinates (-3, 0) and (0, -4) on a grid)

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 \((-3, 0)\) and \((0, -4)\). Let \((x_1, y_1) = (-3, 0)\) and \((x_2, y_2) = (0, -4)\).

Step3: Substitute into formula

Substitute into the slope formula: \( m = \frac{-4 - 0}{0 - (-3)} = \frac{-4}{3} \).

Answer:

\(-\frac{4}{3}\)