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

Looking at the graph, we can see that the line passes through (0, -8) and (8, -4) (we can choose other points too, but these are clear).

Step2: Calculate the rise

Rise is the change in y - coordinates. So, \( \Delta y=-4 - (-8)=4 \).

Step3: Calculate the run

Run is the change in x - coordinates. So, \( \Delta x = 8-0 = 8 \).

Step4: Calculate the slope

The formula for slope \( m=\frac{\text{rise}}{\text{run}}=\frac{\Delta y}{\Delta x} \). Substituting the values of rise and run, we get \( m=\frac{4}{8}=\frac{1}{2} \).

Answer:

The slope of the line is \(\frac{1}{2}\)