Question

what is the slope of this line? (5, -1)

Explanation:

Step1: Identify two points on the line

Let's take the point $(5, - 1)$ shown and assume the line passes through the origin $(0,0)$ (since no other points are clearly marked and we can make this assumption for a simple - case straight - line passing through the origin).

Step2: Use the slope formula

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

Answer:

$-\frac{1}{5}$