Question

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

Explanation:

Step1: Identify two points on the line

From the graph, the line passes through \((0, -4)\) and \((6, -2)\) (we can also choose other points, but these are clear).

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

Let \((x_1, y_1) = (0, -4)\) and \((x_2, y_2) = (6, -2)\). Then \(m=\frac{-2 - (-4)}{6 - 0}=\frac{-2 + 4}{6}=\frac{2}{6}=\frac{1}{3}\).

Answer:

\(\frac{1}{3}\)