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

We can pick the y-intercept $(0, 3)$ and the x-intercept $(3, 0)$.

Step2: Calculate rise (change in y)

Rise is the difference in y-values.
$\text{Rise} = 0 - 3 = -3$

Step3: Calculate run (change in x)

Run is the difference in x-values.
$\text{Run} = 3 - 0 = 3$

Step4: Compute slope as rise/run

Slope is the ratio of rise to run.
$\text{Slope} = \frac{\text{Rise}}{\text{Run}} = \frac{-3}{3} = -1$

Answer:

The slope of the line is $\boldsymbol{-1}$.
(To plot rise/run: from $(0,3)$, draw a vertical line down 3 units (rise) to $(0,0)$, then a horizontal line right 3 units (run) to $(3,0)$, or vice versa.)