Question

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

Explanation:

Step1: Select two points on the line

Let's take two points $(0, 4)$ and $(2, - 4)$.

Step2: Apply the slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1 = 4,x_2=2,y_2=-4$. Then $m=\frac{-4 - 4}{2-0}$.

Step3: Simplify the expression

$\frac{-4 - 4}{2-0}=\frac{-8}{2}=-4$.

Answer:

$-4$