Question

coordinate geometry use the graph to answer the questions. fill in the blank 1 point the slope of the line is -1/2

Explanation:

Step1: Select two points on the line

Let's take two points \((x_1,y_1)\) and \((x_2,y_2)\) from the line. For example, if we assume one point is \((0, - 2)\) and another is \((2,-3)\)

Step2: Apply slope - formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting \(x_1 = 0,y_1=-2,x_2 = 2,y_2=-3\) into the formula, we get \(m=\frac{-3-(-2)}{2 - 0}=\frac{-3 + 2}{2}=\frac{-1}{2}\)

Answer:

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