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: (-2, 1) and (2, -1).

Step2: Apply slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-2,y_1 = 1,x_2=2,y_2=-1$. Then $m=\frac{-1 - 1}{2-(-2)}$.

Step3: Simplify the expression

$m=\frac{-2}{4}=-\frac{1}{2}$.

Answer:

$-\frac{1}{2}$