what is the slope of this line?

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 $(x_1,y_1)=(0,2)$ and $(x_2,y_2)=(5, - 4)$.

Step3: Substitute values

$m=\frac{-4 - 2}{5 - 0}=\frac{-6}{5}=-\frac{6}{5}$

Answer:

$-\frac{6}{5}$