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 given points

Let $(x_1,y_1)=(0,4)$ and $(x_2,y_2)=(3,-1)$

Step3: Substitute into slope formula

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

Answer:

$\boldsymbol{-\frac{5}{3}}$