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: Select two points on the line

Let's say we choose two points \((x_1,y_1)\) and \((x_2,y_2)\) on the line. For example, if the line passes through \((0, - 2)\) and \((2,0)\).

Step2: Calculate the rise and run

The rise is \(y_2 - y_1\) and the run is \(x_2 - x_1\). Here, \(y_2 - y_1=0-( - 2)=2\) and \(x_2 - x_1 = 2 - 0=2\).

Step3: Calculate the slope

The slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting the values of rise and run, we get \(m=\frac{2}{2}=1\).

Answer:

The slope of the line is \(1\). To draw the rise, from a point on the line, draw a vertical line segment. To draw the run, from the end - point of the rise, draw a horizontal line segment.