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

Answer 1

To solve the equation of a line given by \( y = mx + b \) for \( x \) in terms of \( y \), 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 solve for \( x \): \[ x = \frac{y - b}{m} \]

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