Question

what is the slope of this line? (0, 0) (1, -4) 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 $(0,0)$ and $(1, - 4)$. Let $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(1,-4)$.

Step3: Substitute values into formula

$m=\frac{-4 - 0}{1 - 0}=\frac{-4}{1}=-4$.

Answer:

$-4$