Question

find the slope of the line shown.

Explanation:

Step1: Select two points on the line

Let's take two points \((0, 2.5)\) and \((5,0)\) from the graph.

Step2: Use the slope - formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Here, \(x_1 = 0,y_1=2.5,x_2 = 5,y_2 = 0\). Then \(m=\frac{0 - 2.5}{5-0}\).

Step3: Calculate the slope

\(m=\frac{- 2.5}{5}=-0.5=-\frac{1}{2}\)

Answer:

\(-\frac{1}{2}\)