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 \((0, -4)\) and \((8, -7)\) (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 \((x_2,y_2)=(8, -7)\). Then \(m=\frac{-7 - (-4)}{8 - 0}=\frac{-7 + 4}{8}=\frac{-3}{8}\).

Answer:

\(-\frac{3}{8}\)