Rearrange the slope formula%C2%A0 y=mx+b %C2%A0for the quantity of interest m . Make sure to show each step.

Answer 1

To rearrange the slope-intercept form of a linear equation, which is given by \( y = mx + b \), to solve for \( m \), follow these steps:

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

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

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

4. Rearranging gives: \[ m = \frac{y - b}{x} \]

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