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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: Recall slope formula

The slope $m$ of a line is given by $m=\frac{\text{rise}}{\text{run}}$.

Step2: Identify rise and run

To find the rise and run, we can choose two points on the line. Let's assume two points $(x_1,y_1)$ and $(x_2,y_2)$. The rise is $y_2 - y_1$ and the run is $x_2 - x_1$.

Step3: Calculate slope

Suppose the two - point method gives us a rise of $a$ and a run of $b$. Then $m=\frac{a}{b}$, and we simplify the fraction $\frac{a}{b}$ to its lowest terms.

Since no specific points are given in the image for calculation, assume we have two points $(x_1,y_1)$ and $(x_2,y_2)$ on the line. If the rise (vertical change) between the two points is $- 3$ and the run (horizontal change) is $1$, then the slope $m=-3$.

Answer:

The slope of the line is found using the formula $m = \frac{\text{rise}}{\text{run}}$. After identifying two points on the line and calculating the vertical and horizontal changes between them, if for example, the rise is $-3$ and the run is $1$, the slope of the line in simplest form is $- 3$.