Transcendental Slope

Theorem
The slope of a line is transcendental if either the rise or the run of the slope are transcendental.

Proof
If the slope is a number that has been proven to be transcendental, such as

it is transcendental.

Corollary
A transcendental line may only pass through one chosen algebraic point. Any other point on such line must retain:


 * If $X$ is Transcendental, $Y$ is Algebraic.
 * If $Y$ is Transcendental, $X$ is Algebraic.
 * If $X$ is Algebraic, $Y$ is Transcendental.
 * If $Y$ is Algebraic, $X$ is Transcendental.