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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:
\[
m = \frac{y - b}{x}
\]