Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points on the line

From the graph, we can see two clear points: \((0, -3)\) and \((4, 3)\).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(0, -3)\) and \((x_2,y_2)=(4, 3)\).
Substitute the values into the formula: \(m=\frac{3 - (-3)}{4 - 0}=\frac{3 + 3}{4}=\frac{6}{4}=\frac{3}{2}\).

Answer:

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