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 the points $(-8,4)$ and $(8, - 4)$.

Step2: Use the slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-8,y_1 = 4,x_2=8,y_2=-4$. Then $m=\frac{-4 - 4}{8-(-8)}$.

Step3: Simplify the expression

First, calculate the numerator: $-4 - 4=-8$. Then calculate the denominator: $8-(-8)=8 + 8 = 16$. So $m=\frac{-8}{16}=-\frac{1}{2}$.

Answer:

$-\frac{1}{2}$