rearrange the slope formula y=mx+b for the quantity of interest x

Answer 1

To rearrange the slope-intercept form of a linear equation, \( y = mx + b \), for \( x \), 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 \( m \) (assuming \( m \neq 0 \)): \[ x = \frac{y - b}{m} \]

So, the rearranged formula for \( x \) is: \[ x = \frac{y - b}{m} \]