Question

directions: type the answer in the box below. find the slope of the given line in its simplest form.

Explanation:

Step1: Identify two points on the line

From the graph, two points on the line are \((0,2)\) and \((5,0)\).

Step2: Use the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\)

Let \((x_1,y_1)=(0,2)\) and \((x_2,y_2)=(5,0)\). Then \(m=\frac{0 - 2}{5 - 0}\).

Step3: Simplify the expression

\(m=\frac{-2}{5}=-\frac{2}{5}\)

Answer:

\(-\frac{2}{5}\)