Sometimes, you hit the slopes. Other times, the slope hits you.
|Algebra||Real Numbers and Quantities|
If we plotted the money Marvin earns for every hour that his lemonade stand is open...
...what would be the slope of the line? First, we want to know which two values our
line represents. We're trying to relate the time that the stand
is open, in hours... ...to the money Marvin earns, in dollars.
So... we want to assign our variables properly. The independent variable is x, and the dependent
variable is y. Since the money Marvin earns depends on the
number of hours that pass... ...we know that time will be on our x axis
Time is gonna pass no matter what ... making it an independent value or variable.
Which makes money our y axis because it is DEPENDENT on the time
Slope is "rise" over "run," or y over x... ...so we know that our units should be in
dollars per hour. If Marvin sells 4 glasses at $2 apiece...
...he'll earn $8 per hour. So the slop of our line is... 8.
The equation of the line would be y equals 8x plus 10...
...because Marvin starts out with $10 originally... ...and every hour that passes x, he earns
eight more dollars... ...which is reflected in his total dollar
amount... y. However, one of his loyal customers choked
on a lemon... ...and the slope cost of hiring a lawyer is
a whole different matter.