Question

line s is a straight line that passes through the origin. select any two points shown on line s to draw a slope triangle. the line increases from left to right. therefore, the slope is positive. enter the slope of line s.

Explanation:

Step1: Select two points

Let's take the points $(0,0)$ (the origin) and $(3, - 9)$.

Step2: Apply slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1 = 0,x_2=3,y_2=-9$. Then $m=\frac{-9 - 0}{3 - 0}=\frac{-9}{3}=- 3$.

Answer:

$-3$