Question

find the slope of the line shown.

Explanation:

Step1: Select two points on the line

Let's take two points \((x_1,y_1)\) and \((x_2,y_2)\) on the line. For example, \((0,0)\) and \((2, - 2)\).

Step2: Apply the slope - formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substitute \(x_1 = 0,y_1=0,x_2 = 2,y_2=-2\) into the formula: \(m=\frac{-2 - 0}{2 - 0}\).

Step3: Calculate the slope

\(m=\frac{-2}{2}=-1\).

Answer:

\(-1\)