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QUESTION IMAGE

draw a line representing the ise\ and a line representing the un\ of th…

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 take two points \((x_1,y_1)\) and \((x_2,y_2)\) on the line. For example, if the line passes through \((- 4,2)\) and \((4,0)\).

Step2: Calculate the rise and run

The rise is \(y_2 - y_1=0 - 2=-2\), and the run is \(x_2 - x_1=4-(-4)=8\).

Step3: Calculate the slope

The slope \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{-2}{8}=-\frac{1}{4}\)

Answer:

\(-\frac{1}{4}\)