The equation of a line is given by y = mx + b . Solve for x in terms of y .

Question

options:

x = y+b over m

x = y over m + b

x = y − b over m

x = y over m − b

Answer 1

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

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

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

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

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

Thus, the correct option is:

• \( x = \frac{y - b}{m} \)