Question

find the slope from a graph
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

The points are $(0,4)$ and $(4,-1)$. Let $(x_1,y_1)=(0,4)$ and $(x_2,y_2)=(4,-1)$.

Step3: Substitute values into formula

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

Answer:

$\frac{-5}{4}$