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 given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the points

We have two points: \((x_1, y_1)=(0, 4)\) and \((x_2, y_2)=(3, - 1)\).

Step3: Substitute into the formula

Substitute \( x_1 = 0,y_1 = 4,x_2 = 3,y_2=-1 \) into the slope formula:
\( m=\frac{-1 - 4}{3 - 0}=\frac{-5}{3}=-\frac{5}{3} \)

Answer:

\(-\frac{5}{3}\)