Question

draw a line representing the
ise\ and a line representing the
un\ 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 $(0, - 2)$ and $(8,0)$.

Step2: Calculate the rise and run

The rise is the change in the $y$ - values. So, rise $=y_2 - y_1=0-( - 2)=2$. The run is the change in the $x$ - values. So, run $=x_2 - x_1=8 - 0=8$.

Step3: 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 $m=\frac{2}{8}=\frac{1}{4}$.

To draw the "rise" and "run":

• Starting from the point $(0,-2)$, to represent the "rise", draw a vertical line segment upwards of length 2 units.
• From the end - point of the "rise" line segment, draw a horizontal line segment to the right of length 8 units to represent the "run".

Answer:

The slope of the line is $\frac{1}{4}$.