Rewrite the following equation in standard form.y=8x+1Hint: 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+1Hint: 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 and Standard Form: Identify the given equation and the standard form requirement.The given equation is y=8x−1, and 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.
Move Term to Isolate Variable: Move the term 8x to the other side of the equation to isolate the variable y. To do this, we subtract 8x from both sides of the equation. y−8x=−1
Rearrange Equation for Standard Form: Rearrange the equation so that the x term comes before the y term.−8x+y=−1
Ensure Positive Coefficient: Ensure that the coefficient of x is positive.To do this, we multiply the entire equation by −1 to get the standard form.(−1)(−8x)+(−1)(y)=(−1)(−1)8x−y=1
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