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QUESTION IMAGE

draw a line representing the ise\ and a line representing the un\ of th…

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 line

We can use the y-intercept $(0, -6)$ and another clear point, e.g., $(9, -3)$.

Step2: Calculate the rise

Rise is change in $y$: $-3 - (-6) = 3$

Step3: Calculate the run

Run is change in $x$: $9 - 0 = 9$

Step4: Compute slope (rise/run)

$\text{slope} = \frac{\text{rise}}{\text{run}} = \frac{3}{9} = \frac{1}{3}$

(For the graph: Plot a vertical segment from $(0, -6)$ to $(0, -3)$ for rise, and a horizontal segment from $(0, -3)$ to $(9, -3)$ for run, or any equivalent pair of vertical/horizontal segments between two points on the line.)

Answer:

The slope of the line is $\frac{1}{3}$