A line in the Cartesian plane passes through the points (–2, 4) and (2, –1). What are the rise and the run of the line?
2 answers:
Rise
___
run
y2-y1
____
x2-x1
-1-4
___
2--2
-5
___
4
rise: -5
run: 4
Whether you call it "rise and run", slope, velocity, it all means the rate of change. Which for a line is constant and it is mathematically:
m=(y2-y1)/(x2-x1), in this case:
m=(-1-4)/(2--2)
m=-5/4 or if you prefer
m=-1.25
Which means that your rise and run is -1.25 to 1.
For every increase in run by one unit, the rise, or height, decreases by 1.25 units.
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