Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer.

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 the two points

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

Step3: Substitute into the formula

Substitute into \( m = \frac{y_2 - y_1}{x_2 - x_1} \): \( m = \frac{-3 - 0}{0 - (-4)} = \frac{-3}{4} \).

Answer:

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