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 \((0, -6)\) and \((6, -3)\) (we can choose other points too, but these are clear).

Step2: Calculate the rise

Rise is the change in \(y\)-coordinates, so \(y_2 - y_1=-3 - (-6)=-3 + 6 = 3\).

Step3: Calculate the run

Run is the change in \(x\)-coordinates, so \(x_2 - x_1=6 - 0 = 6\).

Step4: Calculate the slope

Slope \(m=\frac{\text{rise}}{\text{run}}=\frac{3}{6}=\frac{1}{2}\).
(For drawing the rise and run: From the point \((0, -6)\), the run is a horizontal line to \((6, -6)\) (change in \(x\) by 6), and the rise is a vertical line from \((6, -6)\) to \((6, -3)\) (change in \(y\) by 3), then connect \((0, -6)\) to \((6, -3)\) for the line.)

Answer:

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