Question

draw a line representing the “rise” and a line representing the “run” of the line. state the slope of the line in simplest form. click twice to plot each segment. click a segment to delete it.

Explanation:

Step1: Select two points on the line

Let's take two points \((0, - 6)\) and \((6,-9)\) on the given line.

Step2: Calculate the rise and run

The formula for slope \(m=\frac{\text{rise}}{\text{run}}\), where rise is the change in \(y\) - values and run is the change in \(x\) - values.
The change in \(y\) (rise) is \(y_2 - y_1=-9-( - 6)=-9 + 6=-3\).
The change in \(x\) (run) is \(x_2 - x_1=6 - 0=6\).

Step3: Simplify the slope

\(m=\frac{-3}{6}=-\frac{1}{2}\)

Answer:

\(-\frac{1}{2}\)