Question

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

Answer 1

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:
\[
x = \frac{y - b}{m}
\]