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 \((-6, 0)\) and \((0, -6)\).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(-6, 0)\) and \((x_2,y_2)=(0, -6)\).
Substitute the values into the formula: \(m=\frac{-6 - 0}{0 - (-6)}=\frac{-6}{6}\)

Step3: Simplify the fraction

Simplify \(\frac{-6}{6}\) to get \(-1\).

Answer:

\(-1\)