1. **State the problem:** Convert the equation from slope-intercept form $y = -2x + 6$ to standard form $Ax + By = C$. 2. **Recall the forms:** - Slope-intercept form: $y = mx + b$ - Standard form: $Ax + By = C$, where $A$, $B$, and $C$ are integers and $A \geq 0$. 3. **Start with the given equation:** $$y = -2x + 6$$ 4. **Rearrange to get all variables on one side:** Add $2x$ to both sides: $$2x + y = 6$$ 5. **Check coefficients:** - $A = 2$ (positive integer) - $B = 1$ - $C = 6$ 6. **Final standard form:** $$2x + y = 6$$ This is the standard form of the given equation. **Answer:** $2x + y = 6$