Rearrange the slope formula y = mx + b for the quantity of interest m. Make sure to show each step

Answer 1

To rearrange the slope formula \( y = mx + b \) for \( m \), you'll want to isolate \( m \). Here are the steps:

1. Start with the original equation: \[ y = mx + b \]

2. Subtract \( b \) from both sides to isolate the term with \( m \): \[ y - b = mx \]

3. Divide both sides by \( x \) to solve for \( m \): \[ \frac{y - b}{x} = m \]

4. Write it in a more conventional form: \[ m = \frac{y - b}{x} \]

And there you have it! The rearranged slope formula for \( m \) is: \[ m = \frac{y - b}{x} \]