Two-point form (Equation through two distinct points (handles non-vertical)

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Equation through two distinct points (handles non-vertical, non-horizontal).

What each symbol means

SymbolWhat it stands for
(x1,y1),(x2,y2)Two distinct points on the line

When to use this

If y2=y1, line is horizontal y=y1; if x2=x1, vertical x=x1.