1+1=2
It’s been proven, it’s always true.
Let’s add some letters to represent the unknown.
Now 1x+1y=2
Please explain how?
This is a linear equation,
When we rearrange its formation.
Now let’s put it in standard notation.
Ax+By+C=0
1x+1y-2=0
What does this mean?
It’s an equation for a graph where the constant is always C.
Now to find a ***** for our graph,
We must yet again rearrange to get y=mx+b;
Where ‘m’ equals the ***** that we need.
1x+1y-2=0
1y=-1x+2
m=-1
Lets not forget m is also rise over run!
The rise equals ‘∆y’ and the run ‘∆x’.
If you have 2 exact points you can also use them to find ‘m’.

Now the average rate of change is much like the *****.
It is derived from the same formula but now we must develop.
Instead of simple digits we are presented graphical expressions.
We must calculate the average rate of their alterations.
A secant line would be helpful to move further.
A secant line is a line from one point to another.
By calculating the ***** of this secant line,
We will have the average rate of change between two periods of time.
Can there be a rate for an exact time?
Of course and that is called the instantaneous rate of change.
Instead of a secant line we shall use a tangent.
Up against the point it will give an approximation.
The x values will be so close,
It will create a limit of ‘x’ approaching 0.
Don’t be quick to leave there is still more.
The difference quotient is an expression,
To find the ***** of a secant line between two specifications.
This expression is then used to find,
The instantaneous rate of change or the average rate of change over a period of time.

I don’t mean to scare you,
But this is just the beginning of chapter 1.2.