Equation of a Straight Line
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Theorem
A straight line $L$ is the set of all $\left({x, y}\right) \in \R^2$, where:
- $\alpha_1 x + \alpha_2 y = \beta$
where $\alpha_1, \alpha_2, \beta \in \R$ are given, and not both $\alpha_1, \alpha_2$ are zero.
Proof
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Sources
- Seth Warner: Modern Algebra (1965): $\S 28$
