Question

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

Explanation:

Step1: Recall 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: Identify two points

We have the points $(- 5,-4)$ and $(1,-4)$. Let $(x_1,y_1)=(-5,-4)$ and $(x_2,y_2)=(1,-4)$.

Step3: Substitute into formula

$m=\frac{-4-(-4)}{1 - (-5)}=\frac{-4 + 4}{1 + 5}$.

Step4: Simplify

$\frac{-4 + 4}{1+5}=\frac{0}{6}=0$.

Answer:

$0$