Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points on the line

From the graph, we can see two points: let's take \((-3, 1)\) and \((0, -1)\) (we can also use other clear points, but these are easy to identify from the grid).

Step2: Use the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\)

Let \((x_1,y_1)=(-3,1)\) and \((x_2,y_2)=(0,-1)\).
Substitute into the formula: \(m=\frac{-1 - 1}{0 - (-3)}\)
Simplify the numerator and denominator: \(m=\frac{-2}{3}\)

Answer:

\(-\frac{2}{3}\)