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

Let's take two points on the line, say $(0, 2)$ and $(2, - 2)$.

Step2: Apply slope - formula

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

Step3: Calculate the value

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

Answer:

$-2$