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 the points \((0, -6)\) and \((2, 0)\) (we can also use other points, but these are clear).

Step2: Calculate the rise

The rise is the change in \(y\)-values. So, \(y_2 - y_1 = 0 - (-6)=6\).

Step3: Calculate the run

The run is the change in \(x\)-values. So, \(x_2 - x_1 = 2 - 0 = 2\).

Step4: Calculate the slope

The slope \(m\) is given by the formula \(m=\frac{\text{rise}}{\text{run}}\). Substituting the values of rise and run, we get \(m = \frac{6}{2}=3\).

Answer:

The slope of the line is \(3\).