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 \((0, 1)\) and \((8, 3)\) (we can also choose other points, but these are clear from the graph).

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

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:

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