Equation for Line through Two Points in Complex Plane/Examples/2+i, 3-2i/Parametric Form 2

Example of Use of Equation for Line through Two Points in Complex Plane
Let $L$ be a straight line through $2 + i$ and $3 - 2 i$ in the complex plane.

Then $L$ can be expressed by the equations:
 * $x = 2 + t, y = 1 - 3 t$

Proof
From Equation for Line through Two Points in Complex Plane: Parametric Form $2$, a straight line $L$ passing through $2$ points $z_1 = x_1 + i y_1$ and $z_2 = x_2 + i y_2$ has the equations:

Hence: