Question

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: Select two points

Choose $(0,-6)$ and $(6, - 3)$ on the line.

Step2: Calculate the rise

$y_2 - y_1=-3-( - 6)=3$

Step3: Calculate the run

$x_2 - x_1=6 - 0=6$

Step4: Calculate the slope

$m = \frac{y_2 - y_1}{x_2 - x_1}=\frac{3}{6}=\frac{1}{2}$

Step5: Describe drawing the rise

Draw a 3 - unit vertical upward line.

Step6: Describe drawing the run

Draw a 6 - unit horizontal right - ward line.

Answer:

Let's assume two points on the line, say $(x_1,y_1)=(0, - 6)$ and $(x_2,y_2)=(6,-3)$.
The rise is the change in the $y$ - values: $y_2 - y_1=-3-( - 6)=3$.
The run is the change in the $x$ - values: $x_2 - x_1=6 - 0 = 6$.
The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{3}{6}=\frac{1}{2}$

To draw the rise: Starting from a point on the line, draw a vertical line segment of length 3 units (upward since the change in $y$ is positive).
To draw the run: From the end - point of the rise, draw a horizontal line segment of length 6 units (to the right since the change in $x$ is positive).