Rewrite the following equation in standard form.y=4x+3Hint: 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=4x+3Hint: 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=4x−3, and we need to rewrite it in the standard form Ax+By=C.
Move Term for Isolation: Move the term with x to the other side of the equation to isolate the constant term.To do this, we subtract 4x from both sides of the equation.y−4x=−3
Rearrange Equation: Rearrange the equation so that the x term comes before the y term.−4x+y=−3
Check Coefficients: Check if the coefficients are integers and their greatest common factor (GCF) is 1. The coefficients are −4, 1, and −3. Their GCF is 1.
Ensure Positive Coefficient: Ensure that the coefficient of x is positive.If we want the coefficient of x to be positive, we can multiply the entire equation by −1.4x−y=3
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