Question

what is the slope of this line? (-4, 1) (4, -1) simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Identify slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Assign points

Let $(x_1,y_1)=(-4,1)$ and $(x_2,y_2)=(4, - 1)$.

Step3: Substitute values

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

Step4: Simplify

$m=\frac{-2}{8}=-\frac{1}{4}$.

Answer:

$-\frac{1}{4}$