Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
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Answer:
See attached graph for rise and run lines
Slope = -1
Step-by-step explanation:
The slope-intercept equation form of a line is given by
y = mx + b where m = slope and b the y-intercept
rise/run is the slope of the line and is given by Δy/Δx where Δy represents the change in y values and Δx the corresponding change in x values
To calculate slope, take any two points on the line, find the difference between their y values and divide them by the change in x values
Two points I have chosen are (-3, 0) and (0, -3)
[tex]\textsf{{Slope}}=\dfrac{\ensuremath{-3}-0}{0-(-3)}=\dfrac{-3}{3}=-1[/tex]
We can see from the graph that the y-intercept ie where the line crosses the y axis i s-3
So the equation of the line is y = -1x - 3