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.

I love you baby,
From x approaching a limit of positive to negative infinity.
A range so large and domain so vast,
My love for you will always last.
The way my curve touches your tangent,
And how your secant meets me end to end.
When your line intersects my parabola,
We connect at one point of linear algebra.
You transform my altitude,
When my sinusoidal function allows you too.
You make my average rate of change,
Quicken and heighten in an instantaneous range.
For those days when my angle is in depression,
You tilt me up to an angle of elevation.
In an isosceles triangle,
You will always be my special angle.
The identities we cross,
Changing from tan to sin over cos.
Like sin²x with cos²x we are one,
It’s quite simple ***.
Your imaginary roots maybe out of this world,
But my zeros and intercepts will keep it real.
It’s a complicated equation,
To solve for my fascination.
It’s the beginning of our journey,
I hope we never come across an inequality.
I love you endlessly like x approaching positive and negative infinity.