2x+y=1
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In standard form it is 4x - 4y = 6 or 2x - 2y = 3
y + 4 = 2x −1
It depends on what you are calling "standard form". 2x = 7 can be solved, but it is a standard form of an algebraic equation.
2x+12-3x = 5 2x-3x = 5-12 x = -7
The slope is the coefficient of x in the standard form and so it is 2.