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A standard form of a linear equation would be: ax + by = c
aX+bY+cZ=0 Is a type of linear equation.
A linear equation is that equation in which a variable or variables has exponent equal to 1. For example, standard form of linear equation in one variable: a1x + a2x +.......+ anx = c Standard form of a linear equation : a1x + a2x +.........+ anx = c e.g. 4x + 3 =6, 3x + 6y + 5z = 2 etc.
Ax+By=C
The standard of conic section by linear is the second order polynomial equation. This is taught in math.