Question

select the correct answer. which number best represents the slope of the graphed line? a. -2 b. -\frac{1}{2} c. \frac{1}{2} d. 2

Explanation:

Step1: Select two points on the line

Let's take two points \((0, 3)\) and \(( - 6,0)\) from the graph.

Step2: Use the slope - formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Here, \(x_1 = 0,y_1 = 3,x_2=-6,y_2 = 0\). Then \(m=\frac{0 - 3}{-6-0}=\frac{-3}{-6}=\frac{1}{2}\).

Answer:

C. \(\frac{1}{2}\)