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 \( m \), we need to isolate \( m \) on one side of the equation. 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. To isolate \( m \), divide both sides by \( x \) (assuming \( x \neq 0 \)): \[ \frac{y - b}{x} = m \]

4. Rewrite the equation to express \( m \) clearly: \[ m = \frac{y - b}{x} \]

Now, we have successfully rearranged the slope formula to solve for \( m \): \[ m = \frac{y - b}{x} \]