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

Let's assume two points \((x_1,y_1)\) and \((x_2,y_2)\) on the line from the graph. Suppose the line passes through \((- 4,0)\) and \((0,-4)\)

Step2: Calculate the rise and run

The rise is \(y_2 - y_1\) and the run is \(x_2 - x_1\). Here, \(y_2=-4,y_1 = 0,x_2=0,x_1=-4\). Rise \(=-4 - 0=-4\), run \(=0-(-4)=4\)

Step3: Calculate the slope

The slope \(m=\frac{\text{rise}}{\text{run}}\). So \(m=\frac{-4}{4}=-1\)

To draw the "rise" line, start from a point on the line (e.g., \((-4,0)\)) and move 4 units down (since rise = - 4). To draw the "run" line, from the end - point of the "rise" line, move 4 units to the right (since run = 4).

Answer:

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