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The equation of a line is given by y = mx + b . Solve for x in terms of y .(1 point) Responses x=y−bm x is equal to the fraction with numerator y minus b and denominator m x=y+bm x is equal to the fraction with numerator y plus b and denominator m x=ym+b x is equal to y over m plus b x=ym−b x is equal to y over m minus b

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To solve the equation of the line \( y = mx + b \) for \( x \) in terms of \( y \), we can follow these steps:

  1. Start with the equation: \[ y = mx + b \]

  2. Subtract \( b \) from both sides: \[ y - b = mx \]

  3. Divide both sides by \( m \) to isolate \( x \): \[ x = \frac{y - b}{m} \]

So, the correct response is: \[ x = \frac{y - b}{m} \]