Question

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

Explanation:

Step1: Recall slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify two points

Let the two points on the line be $(x_1,y_1)=(0,0)$ (the origin) and $(x_2,y_2)=(3, - 9)$.

Step3: Calculate the slope

$m=\frac{-9 - 0}{3-0}=\frac{-9}{3}=- 3$.

Answer:

$-3$