Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Select two points on the line

Let's take two points \((0, - 4)\) and \((4,-8)\) from the graph.

Step2: Apply slope - formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Here \(x_1 = 0,y_1=-4,x_2 = 4,y_2=-8\). Then \(m=\frac{-8-(-4)}{4 - 0}=\frac{-8 + 4}{4}=\frac{-4}{4}=-1\).

Answer:

\(-1\)