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 \((-8, -1)\) and \((0, -6)\) (we can also use 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 \((x_1,y_1)=(-8, -1)\) and \((x_2,y_2)=(0, -6)\). Then \(m=\frac{-6 - (-1)}{0 - (-8)}=\frac{-6 + 1}{8}=\frac{-5}{8}\).

Answer:

\(-\frac{5}{8}\)