Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points

From the graph, we can see two clear points. Let's take \((-1, -2)\) and \((3, 4)\).

Step2: Use slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting \(x_1=-1,y_1 = - 2,x_2 = 3,y_2=4\) into the formula:
\(m=\frac{4-(-2)}{3-(-1)}=\frac{4 + 2}{3 + 1}=\frac{6}{4}=\frac{3}{2}\)

Answer:

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