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QUESTION IMAGE

draw a line representing the “rise” and a line representing the “run” o…

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 the points (- 9,8) and (7, - 2).

Step2: Calculate the rise and run

The formula for slope $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-9,y_1 = 8,x_2=7,y_2=-2$. The rise is $y_2 - y_1=-2 - 8=-10$, and the run is $x_2 - x_1=7-(-9)=16$.

Step3: Simplify the slope

$m=\frac{-10}{16}=-\frac{5}{8}$.

Answer:

$-\frac{5}{8}$