Question

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

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:
- \( x = \frac{y - b}{m} \)