Q. Determine the standard form of the following equation:y=x+8
Identify Given Equation: Identify the given equation and the desired form.The given equation is y=x+8, and we want to rewrite it in the standard form Ax+By=C.
Move Term with x: Move the term with x to the left side of the equation.To do this, we subtract x from both sides of the equation to get y−x=8.
Ensure Coefficients are Integers: Ensure that the coefficients are integers and their greatest common factor (GCF) is 1. The coefficients in the equation y−x=8 are already integers, and their GCF is 1.
Write Final Equation: Write the final equation in standard form.The standard form of the equation is −x+y=8. However, it is more common to write the x-term first. To do this without changing the equation, we can multiply the entire equation by −1 to get x−y=−8.
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