#
Linear Growth

**[y = x + 1]**
**[y_=_x_*_x]**
**[Phi_=_1.618...]**
**[Phi_=_-0.618?]**

**[Derive_Phi_Graphically]**

## y = x + 1

This function represents a process of **growth** which always **adds** the same relative amount.
In this, the most simple case, it **adds one** unit, whether that unit is from 0
to 1, or from 1000 to 1001. When you connect the dots, you get a straight line,
which is why this type of function is said to be *linear*.
With a **linear function**, when you change **x** by some amount, **y** always changes
by the same relative amount, *no matter what the actual value of ***x** is. The rate of change in
a linear function doesn't depend on what value you change from. Even multiplying **x** by some
constant number within a function still yields a straight line.

**Arithmetic proportion** is always represented by a **linear function**.

**All the values** that will ever appear on the '**x + 1**' side
of our equation will be somewhere on this **green line**.

**
[_<_Previous]
[More_Graphics]
[Next_>_]
**

Please Note!