Now that you've
had a chance to explore slope and develop your own definition for
it, it's time to take a look at one of the official definitions.
Follow the instructions below and be sure to keep filling in your
training manual as you go.
One way of defining
slope is that it is equal to "rise over run". To find
the slope simply find 2 points on the line and measure the vertical
distance between them (rise), the horzontal distance (run), and
divide the two. The picture below shows an example of this.
To get a better
idea of slope as "rise over run" try the 6 examples in
the applet below. Try to find the slope of each example by yourself,
then look at the solution. After you have completed these try the
two examples found in your training manual.
You may have
noticed that all of the "runs" in the examples were positive.
It doesn't matter if a negative on a fraction is on top or in front,
it is still the same value. For example, -1/3 = 1/-3 = -(1/3). It
is easiest to just keep any negatives on the top.
Now that you
are comfortable with slope as "rise over run" we will
look at the equation used to find slope.