QUESTION IMAGE
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.
Step1: Identify two points on the line
Let's take two easy - to - identify points. The line passes through (0, - 8) and (8,0).
Step2: Calculate the rise and run
The formula for slope $m=\frac{\text{rise}}{\text{run}}$, where rise is the change in y - values and run is the change in x - values.
The change in y ($\Delta y$) from (0, - 8) to (8,0) is $y_2 - y_1=0-( - 8)=8$.
The change in x ($\Delta x$) from (0, - 8) to (8,0) is $x_2 - x_1=8 - 0=8$.
So, $\text{rise}=8$ and $\text{run}=8$.
Step3: Simplify the slope
The slope $m=\frac{\text{rise}}{\text{run}}=\frac{8}{8}=1$.
To draw the "rise", start from a point on the line (e.g., (0, - 8)), and draw a vertical line segment 8 units up. To draw the "run", from the end - point of the "rise" line segment, draw a horizontal line segment 8 units to the right.
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The slope of the line is 1. The "rise" is 8 units (vertical upward) and the "run" is 8 units (horizontal to the right).