Subjects algebra

Convert Standard Form

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1. **State the problem:** Convert the equation $y = -6x + 11$ into standard form $Ax + By = C$. 2. **Recall the standard form:** The standard form of a linear equation is $$Ax + By = C$$ where $A$, $B$, and $C$ are integers, and $A$ should be non-negative. 3. **Start with the given equation:** $$y = -6x + 11$$ 4. **Move all terms to one side to get $x$ and $y$ on the same side:** Add $6x$ to both sides: $$6x + y = 11$$ 5. **Check the coefficients:** Here, $A = 6$, $B = 1$, and $C = 11$. All are integers and $A$ is positive, so this is the standard form. **Final answer:** $$6x + y = 11$$