Question

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

Explanation:

Step1: Identify two points on the line

We can see that the line passes through \((0, 4)\) and \((3, 0)\).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(0, 4)\) and \((x_2,y_2)=(3, 0)\). Then \(m=\frac{0 - 4}{3 - 0}=\frac{-4}{3}\).

Answer:

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