Question

2.6.ps - 10 find the slope of the line. the slope of the line is - 2. (type an integer or a simplified fraction.)

Explanation:

Step1: Select two points on the line

Let's take two points \((x_1,y_1)\) and \((x_2,y_2)\) from the graph. For example, \((0, - 2)\) and \((1,0)\).

Step2: Apply slope - formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting \(x_1 = 0,y_1=-2,x_2 = 1,y_2 = 0\) into the formula, we get \(m=\frac{0-(-2)}{1 - 0}=\frac{2}{1}=2\).

Answer:

2