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

From the slope - triangle, if we consider the two points on the line, say $(x_1,y_1)$ and $(x_2,y_2)$ where the vertical change (rise) is $- 9$ and the horizontal change (run) is $3$.

Step3: Calculate the slope

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

Answer:

$-3$