Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points on the line

From the graph, we can identify two points. Let's take the point \((-4, -1)\) and \((4, -5)\).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\), where \((x_1,y_1)=(-4, -1)\) and \((x_2,y_2)=(4, -5)\).
Substitute the values into the formula: \(m=\frac{-5 - (-1)}{4 - (-4)}=\frac{-5 + 1}{4 + 4}=\frac{-4}{8}\)

Step3: Simplify the fraction

Simplify \(\frac{-4}{8}\) to get \(-\frac{1}{2}\).

Answer:

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