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: Identify two points on the line

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

Step2: Calculate the rise

The rise is the change in the $y$ - values. $y_2=-9,y_1 = - 6$, so rise $=y_2 - y_1=-9-(-6)=-9 + 6=-3$.

Step3: Calculate the run

The run is the change in the $x$ - values. $x_2 = 6,x_1=0$, so run $=x_2 - x_1=6 - 0=6$.

Step4: Calculate the slope

The slope $m$ of a line is given by the formula $m=\frac{\text{rise}}{\text{run}}$. Substituting the values of rise and run, we get $m=\frac{-3}{6}=-\frac{1}{2}$.

Answer:

The slope of the line is $-\frac{1}{2}$