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 use the y-intercept $(0,1)$ and the x-intercept $(3,0)$.

Step2: Calculate rise and run

Rise is change in $y$: $0 - 1 = -1$
Run is change in $x$: $3 - 0 = 3$

Step3: Compute slope as rise/run

Slope formula: $\text{slope} = \frac{\text{rise}}{\text{run}}$
$\text{slope} = \frac{-1}{3}$

Answer:

The slope of the line is $\frac{-1}{3}$
(For the rise/run lines: Draw a vertical segment from $(0,1)$ down to $(0,0)$ to represent the rise of $-1$, and a horizontal segment from $(0,0)$ to $(3,0)$ to represent the run of $3$; or a vertical segment from $(3,0)$ up to $(3,1)$ and horizontal from $(3,1)$ to $(0,1)$ to show the same rise/run relationship.)