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Rearrange the slop formula y=mx+b

for the quantity of interest m. Make sure to show each step.

(show all of your work). If you want you can upload a picture of your work using the photo icon

1 answer

To rearrange the slope formula \( y = mx + b \) for the quantity of interest \( m \), 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 move the \( b \) term to the left: \[ y - b = mx \]

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

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

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

This shows that \( m \) (the slope) can be calculated using the difference between \( y \) and \( b \) divided by \( x \).