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 on the line

Let's say we choose the points where the line intersects the x - axis and y - axis. Suppose the line intersects the x - axis at $x = - 3$ (point $(-3,0)$) and the y - axis at $y=-6$ (point $(0, - 6)$).

Step2: Calculate the rise and run

The formula for slope $m=\frac{\text{rise}}{\text{run}}$. The rise is the change in y - values and the run is the change in x - values. From $(-3,0)$ to $(0,-6)$, the change in y ($\Delta y$) is $-6 - 0=-6$, and the change in x ($\Delta x$) is $0-(-3) = 3$.

Step3: Calculate the slope

$m=\frac{\Delta y}{\Delta x}=\frac{-6}{3}=-2$

Answer:

The slope of the line is $- 2$.

(Note: Since this is a text - based response, the drawing part of "Draw a line representing the 'rise' and a line representing the 'run'" cannot be fully completed here. But conceptually, from the point $(-3,0)$ to $(0,-6)$, the "run" is a horizontal line segment of length 3 units to the right and the "rise" is a vertical line segment of length 6 units downwards.)