Question

what is the slope of this line? (with a coordinate grid and a line plotted)

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through \((0, -20)\) and \((40, -25)\). Let's denote \((x_1, y_1) = (0, -20)\) and \((x_2, y_2) = (40, -25)\).

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:
\(m=\frac{-25 - (-20)}{40 - 0}=\frac{-25 + 20}{40}=\frac{-5}{40}=-\frac{1}{8}\)

Answer:

\(-\frac{1}{8}\)