Good Morning Class!
My name is Professor Snape (lol) and I will be
teaching you how to calculate average rate of change or better known as
slope.
Slope is directly related to linear functions and
how they increase or decrease. Besides the y-intercept the slope is the most
important potion in a linear equation.
y=mx+b is the formula for a linear equation, with m
being slope and b being y-intercept.
The formula to calculate slope is:
y2 - y1
---------
x2 - x1
The x and y in this formula is simply a point on the line of the linear
function. You take two points on the line (x1, y1) and (x2, y2) and plug them
into the graph. You answer will produce the rise / run. Y will be how many
spaces you move up or down the y axis and X will equal how many spaces you move
right or left.
Example:
|
0
|
1
|
2
|
3
|
4
|
|
2
|
4
|
6
|
8
|
10
|
Take point (0,2) and point (1,4) and enter them into the
equation:
4 – 2 2
------ = -- meaning
that to reach the next point on the line you
1-0
1 move up 2 and over 1.
I like how you used rise/run as a way of explaining slope because this helps me to visualize and understand it more easily
ReplyDeleteIt is very different from Lucas who also discussed slope, but just as visually stimulating. I like how you used a table to help show how to extract information when it is not presented in the most obvious form.
ReplyDeleteariana,
ReplyDeletehaha! i didn't know snape knew how to calculate slope! very nice and simple explanation.
professor little