Question

the slope of the line is (type an integer or a simplified fraction.)

Explanation:

Step1: Select two points on the line

Let's take two clear - cut points, say \((0, 5)\) 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, \((x_1,y_1)=(0,5)\) and \((x_2,y_2)=(5,0)\). Then \(m=\frac{0 - 5}{5 - 0}\).

Step3: Simplify the expression

\(m=\frac{-5}{5}=- 1\).

Answer:

\(-1\)