Equation for Line through Two Points in Complex Plane/Examples
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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
- $3 x + y = 7$