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=ym−b
x is equal to y over m minus b

x=y−bm

Answer 1

To solve the equation of the line \( y = mx + b \) 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. Now, divide both sides by \( m \): \[ x = \frac{y - b}{m} \]

So, the correct expression for \( x \) in terms of \( y \) is: \[ x = \frac{y - b}{m} \]

However, none of the provided responses match this expression exactly. The closest and correct option among the choices is not listed here. If you were to rewrite it, it would be:

x is equal to the fraction with numerator (y - b) and denominator m.

If we only focus on available selections, ensure there's a mistake in the list provided or re-evaluate the options given.