To rearrange the formula \( y = mx + b \) to solve for \( x \), the first step would be to isolate the term containing \( x \).
You would start by moving the \( b \) to the other side of the equation. This is done by subtracting \( b \) from both sides of the equation:
\[ y - b = mx \]
This step uses the property of equality that states if you subtract the same quantity from both sides of an equation, the two sides remain equal.
After this step, you can proceed to solve for \( x \) by dividing both sides by \( m \):
\[ x = \frac{y - b}{m} \]
This gives you \( x \) in terms of \( y \), \( m \), and \( b \).
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