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 increases from left to right. therefore, the slope is positive. enter the slope of line g. hint the slope of a line segment or line is the ratio of the length of the vertical change to the length of the horizontal change. hint 1 of 3 next →

Explanation:

Step1: Identify two points on line g

Let the two points be \((0,0)\) (since line passes through origin) and \((3, - 6)\) (from the graph).

Step2: Use slope - formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Here, \(x_1 = 0,y_1=0,x_2 = 3,y_2=-6\). Then \(m=\frac{-6 - 0}{3 - 0}=\frac{-6}{3}=- 2\).

Answer:

\(-2\)