Rewrite the following equation in standard form.y=4x+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=4x+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.
Rewrite in Standard Form: To rewrite the equation y=4x+9 in standard form, we need to rearrange the terms so that the x and y terms are on one side of the equation and the constant is on the other side. We want it in the form Ax+By=C.
Move 4x Term: The given equation is y=4x+9. To move the term 4x to the other side of the equation, we can subtract 4x from both sides. This gives us −4x+y=9.
Check Coefficients: We need to check if the coefficients A, B, and C are integers whose greatest common factor (GCF) is 1. In this case, the coefficients are −4, 1, and 9. The GCF of these numbers is 1, so we do not need to divide the entire equation by any number to reduce the coefficients.
Make Coefficient Positive: Finally, we should check if the coefficient A is positive. The standard form prefers the coefficient of x to be positive. Since our coefficient for x is currently −4, we should multiply the entire equation by −1 to make it positive. This gives us 4x−y=−9.
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