To solve the equation of a line \( y = mx + b \) for \( x \) in terms of \( y \), we can follow these steps:
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Start with the equation: \[ y = mx + b \]
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Subtract \( b \) from both sides: \[ y - b = mx \]
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Divide both sides by \( m \): \[ x = \frac{y - b}{m} \]
Thus, \( x \) in terms of \( y \) is: \[ x = \frac{y - b}{m} \]
Now, looking at the responses provided, the correct answer would be:
- x is equal to the fraction with numerator y minus b and denominator m.