Question

what is the slope of the graphed line? you may use the two plotted points and the formula m = \frac{y_2 - y_1}{x_2 - x_1} to determine the slope.

Explanation:

Step1: Identify two points on the line

Let the two points be $(0, 5)$ and $(5, 0)$ (by observing the graph where the line intersects the axes).

Step2: Apply slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $(x_1,y_1)=(0,5)$ and $(x_2,y_2)=(5,0)$. So $m=\frac{0 - 5}{5 - 0}=\frac{- 5}{5}=-1$.

Answer:

$-1$