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 the points \((0, -12)\) and \((12, -24)\) (we can also choose other points, but these are easy to identify).

Step2: Use the slope formula

The slope \(m\) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Let \((x_1, y_1)=(0, -12)\) and \((x_2, y_2)=(12, -24)\).
Substitute the values into the formula:
\(m=\frac{-24-(-12)}{12 - 0}=\frac{-24 + 12}{12}=\frac{-12}{12}=- 1\)

Answer:

\(-1\)