The slope formula is typically written as \( y = mx + b \), where:
- \( y \) is the dependent variable,
- \( m \) is the slope,
- \( x \) is the independent variable,
- \( b \) is the y-intercept.
To rearrange the formula to solve for \( m \):
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Start with the equation: \[ y = mx + b \]
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Subtract \( b \) from both sides: \[ y - b = mx \]
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Divide both sides by \( x \) (assuming \( x \neq 0 \)): \[ \frac{y - b}{x} = m \]
Now, you have expressed \( m \) in terms of \( y \), \( b \), and \( x \): \[ m = \frac{y - b}{x} \]
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