Question

what is the slope of this line?

Explanation:

Step1: Identify two points

We have points $(0,2)$ and $(5, - 4)$.

Step2: Apply slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(0,2)$ and $(x_2,y_2)=(5,-4)$. Then $m=\frac{-4 - 2}{5-0}$.

Step3: Calculate the slope

$m=\frac{-6}{5}=-\frac{6}{5}$.

Answer:

$-\frac{6}{5}$