The equation of a line is given by y = mx + b . Solve for x in terms of y .(1 point)

Question

Responses

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=y−bm
x is equal to the fraction with numerator y minus b and denominator m

x=ym−b

Answer 1

To solve the equation of a 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 \( m \): \[ x = \frac{y - b}{m} \]

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.