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\begin{tabular}{|c|c|}\hline \( \begin{array}{l}\text { When converting the equation of a line } \\ \text { into Standard Form, which of the } \\ \text { following is an important "rule" to } \\ \text { remember? } \\ \text { Ax + By = C }\end{array} \) \\ \hline & A, B, and C should all be negative numbers. \\ \hline \( \begin{array}{l}\text { No fractions allowed! A, B, and C should all } \\ \text { be integers. }\end{array} \) \\ \hline\end{tabular}

Ask by Lowe Harmon. in the United States
Jan 21,2025

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When converting a line's equation to Standard Form \( Ax + By = C \), it's important to ensure that A, B, and C are all integers and that there are no fractions in the equation.

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The Deep Dive

When converting the equation of a line into Standard Form, one of the key aspects to remember is that A, B, and C should be integers. This means that fractions or decimals should be eliminated to have a clean expression. So, if you initially have any fractions, multiply through by the least common denominator to achieve this integer condition! It’s also essential to remember the order of A, B, and C – typically, A should be non-negative. If A is negative, you should multiply the entire equation by -1. This makes it easier to compare equations and analyze their slopes and intercepts when needed. Happy graphing!

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