Rewrite the following equation in standard form.y=2x+2Hint: The standard form of a linear equation is Ax+By=C where A and B are not both zero, and A, B, and C are integers whose GCF is 1._____
Q. Rewrite the following equation in standard form.y=2x+2Hint: The standard form of a linear equation is Ax+By=C where A and B are not both zero, and A, B, and C are integers whose GCF is 1._____
Identify Equation: Identify the given equation and the standard form requirement.The given equation is y=2x+2. We need to rewrite it in the standard form Ax+By=C, where A, B, and C are integers with a greatest common factor (GCF) of 1, and A should be non-negative.
Move Term: Move the term involving x to the other side of the equation to isolate the constant term on one side.To do this, we subtract 2x from both sides of the equation:y−2x=2x+2−2xThis simplifies to:−y+2x=2
Multiply by −1: Multiply the entire equation by −1 to make the coefficient of x positive, as is customary in standard form.−1(−y+2x)=−1(2)This simplifies to:y−2x=−2
Rearrange for Standard Form: Rearrange the terms to match the standard form Ax+By=C.2x−y=−2
Check Coefficients: Check if the coefficients have a GCF other than 1. The coefficients are 2, −1, and −2. The GCF of these numbers is 1.
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