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

The two points are $(0,4)$ and $(3, - 1)$.

Step2: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step3: Assign values

Let $(x_1,y_1)=(0,4)$ and $(x_2,y_2)=(3,-1)$. Then $m=\frac{-1 - 4}{3-0}$.

Step4: Calculate

$\frac{-1 - 4}{3-0}=\frac{-5}{3}=-\frac{5}{3}$.

Answer:

$-\frac{5}{3}$