1. **State the problem:** Rewrite the equation $y = 3x - 10$ in standard form. 2. **Recall the standard form of a linear equation:** The standard form is $$Ax + By = C$$ where $A$, $B$, and $C$ are integers, and $A$ should be non-negative. 3. **Start with the given equation:** $$y = 3x - 10$$ 4. **Move all terms to one side to get $Ax + By = C$:** $$y - 3x = -10$$ 5. **Rewrite to have $x$ term first:** $$-3x + y = -10$$ 6. **Make $A$ positive by multiplying both sides by $-1$:** $$\cancel{-1}(-3x + y) = \cancel{-1}(-10)$$ $$3x - y = 10$$ 7. **Final standard form:** $$3x - y = 10$$ This is the equation in standard form where $A=3$, $B=-1$, and $C=10$.