To rearrange the slope-intercept form of a linear equation \(y = mx + b\) to solve for the slope \(m\), follow these steps:
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Start with the original equation: \[ y = mx + b \]
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Isolate the term containing \(m\): Subtract \(b\) from both sides: \[ y - b = mx \]
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Solve for \(m\): Divide both sides by \(x\) (assuming \(x \neq 0\)): \[ m = \frac{y - b}{x} \]
Now, we have successfully rearranged the slope formula to express \(m\) in terms of \(y\), \(b\), and \(x\): \[ m = \frac{y - b}{x} \]
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