Rewrite the following equation in standard form.y=8x+6Hint: 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=8x+6Hint: 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 Standard Form: Identify the given equation and the standard form requirement.The given equation is y=8x+6. 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 Isolation: 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 8x from both sides of the equation:y−8x=8x+6−8xThis simplifies to:−y+8x=6
Multiply by −1: Multiply the entire equation by −1 to make the coefficient of x positive, as is customary in standard form.−1(−y+8x)=−1(6)This simplifies to:y−8x=−6
Rearrange for Standard Form: Rearrange the terms to match the standard form Ax+By=C.8x−y=6
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