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3y = 4x + 9 -4x + 3y = 9 is the standard form
x2 - 4x + 3 is already in standard form.
-4x + 3y = 9
In standard form it is 4x - 4y = 6 or 2x - 2y = 3
The standard form, which is the form that can be generalised to 3 or more dimensional spaces, is 4x + 5y - 13 = 0