Question

draw a line representing the “rise” and a line representing the “run” 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

Let's take two points \((0,4)\) and \((4,0)\) on the line.

Step2: Calculate the rise

Rise is the change in \(y\)-values. From \((0,4)\) to \((4,0)\), \(y_1 = 4\), \(y_2=0\), so rise \(=y_2 - y_1=0 - 4=- 4\).

Step3: Calculate the run

Run is the change in \(x\)-values. From \((0,4)\) to \((4,0)\), \(x_1 = 0\), \(x_2 = 4\), so run \(=x_2 - x_1=4 - 0 = 4\).

Step4: Calculate the slope

The slope \(m=\frac{\text{rise}}{\text{run}}\). Substituting the values of rise and run, we get \(m=\frac{-4}{4}=-1\).

Answer:

The slope of the line is \(-1\). To draw the "rise" and "run": From a point on the line, for the "rise" draw a vertical line segment of length 4 units down - ward (since rise is - 4), and for the "run" draw a horizontal line segment of length 4 units to the right.