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

From the graph, we can see that the line passes through \((0, 1)\) and \((8, 3)\) (we can also use other points, but these are clear).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(0, 1)\) and \((x_2,y_2)=(8, 3)\). Then \(m=\frac{3 - 1}{8 - 0}=\frac{2}{8}=\frac{1}{4}\).

Answer:

\(\frac{1}{4}\)