Transcendental Slope

Theorem
The slope of a line may be transcendental.

Proof
The slope form of any number $x$ may be produced by:

If $x$ is transcendental, then the slope of a line $\mathrm m$ is transcendental.

Example
$\mathrm \pi$ is proven to be transcendental by the Lindemann-Weiersrass Theorem

Slope $m$ is transcendental.

Corollary
The Corollaries are Under investigation.

For points lying on a line that has transcendental slope:
 * No more than one algebraic point exists on such line.
 * For all other points, at least one $x$ or $y$ coordinate must be transcendental.
 * For all other points, if the $x$ or $y$ coordinate is algebraic, the other must be transcendental.
 * The number of coordinates where $x$ and $y$ are both transcendental is uncountably infinite.
 * The number coordinates where only $x$ or $y$ are transcendental is the same size as the set of the countable algebraic numbers.