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 \((0, -4)\) and \((2, 0)\) (we can choose other points too, but these are clear).

Step2: Calculate the rise

Rise is the change in \(y\)-coordinates, so \(y_2 - y_1 = 0 - (-4) = 4\).

Step3: Calculate the run

Run is the change in \(x\)-coordinates, so \(x_2 - x_1 = 2 - 0 = 2\).

Step4: Calculate the slope

Slope \(m=\frac{\text{rise}}{\text{run}}=\frac{4}{2} = 2\).
(For drawing the rise and run: From the point \((0, -4)\), draw a vertical line up 4 units (rise) to \(y = 0\), then a horizontal line right 2 units (run) to \((2, 0)\), or vice - versa from another point.)

Answer:

The slope of the line is \(2\).