Equation for Line through Two Points in Complex Plane/Examples

Examples of Use of Equation for Line through Two Points in Complex Plane

Line through $2 + i$ and $3 - 2 i$

Let $L$ be a straight line through $2 + i$ and $3 - 2 i$ in the complex plane.

Then $L$ can be expressed as an equation in the following ways:

Parametric Form: $1$

$z - \paren {2 + i} = t \paren {1 - 3 i}$

Parametric Form: $2$

$x = 2 + t, y = 1 - 3 t$

Standard Form

$3 x + y = 7$