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 \((0, - 3)\) and \((3,0)\) on the line.

Step2: Calculate the rise and run

The rise is the change in \(y\)-values. For points \((x_1,y_1)=(0,-3)\) and \((x_2,y_2)=(3,0)\), the rise \(=y_2 - y_1=0-(-3)=3\). The run is the change in \(x\)-values, so run \(=x_2 - x_1=3 - 0 = 3\).

Step3: Calculate the slope

The slope \(m\) of a line is given by the formula \(m=\frac{\text{rise}}{\text{run}}\). Substituting the values of rise and run, we get \(m=\frac{3}{3}=1\).

Answer:

The slope of the line is \(1\).