Rewrite the following equation in standard form.y=6x+9Hint: 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=6x+9Hint: 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.
Given Equation: Start with the given equation.y=6x+9We need to rearrange this equation into the standard form, which is Ax+By=C.
Rearrange Equation: Move the term involving x to the other side of the equation by subtracting 6x from both sides.y−6x=6x+9−6xThis simplifies to:y−6x=9
Rewrite Equation: To write the equation in standard form, we need to have the x-term first. So, we rewrite the equation as: −6x+y=9
Make Coefficient Positive: The standard form of a linear equation should have a positive coefficient for x if possible. To achieve this, we can multiply the entire equation by −1 to make the coefficient of x positive.−1(−6x+y)=−1(9)This simplifies to:6x−y=−9
Check for GCF: Check if the coefficients have a greatest common factor (GCF) other than 1. The coefficients are 6, −1, and −9. The GCF of these numbers is 1.
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