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

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