Question

what is the slope of this line?

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through \((0, -8)\) and \((16, -24)\). Let's denote \((x_1, y_1) = (0, -8)\) and \((x_2, y_2) = (16, -24)\).

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 \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

Substitute the values of \(x_1, y_1, x_2, y_2\) into the formula:
\(m=\frac{-24 - (-8)}{16 - 0}=\frac{-24 + 8}{16}=\frac{-16}{16}\)

Step3: Simplify the fraction

Simplify \(\frac{-16}{16}\) to get \(-1\).

Answer:

\(-1\)