Question

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

Explanation:

Step1: Identify two points on the line

We can see that the line passes through \((0, 2)\) and \((3, 8)\) (or other clear points, but these are easy to identify from the graph).

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

Let \((x_1,y_1)=(0,2)\) and \((x_2,y_2)=(3,8)\). Then \(m = \frac{8 - 2}{3 - 0}=\frac{6}{3}=2\).

Answer:

\(2\)