To rearrange the formula \( y = mx + b \) for \( x \) as the quantity of interest, you should isolate \( x \) on one side of the equation. Here are the steps:
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Subtract \( b \) from both sides to get rid of the constant term: \[ y - b = mx \]
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Next, divide both sides by \( m \) to solve for \( x \): \[ x = \frac{y - b}{m} \]
Now you have \( x \) expressed in terms of \( y \), \( m \), and \( b \): \[ x = \frac{y - b}{m} \]