Question

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

Answer 1

To rearrange the slope formula \( y = mx + b \) for \( m \), you'll want to isolate \( m \). Here are the steps:

1. **Start with the original equation**:
\[
y = mx + b
\]

2. **Subtract \( b \) from both sides** to isolate the term with \( m \):
\[
y - b = mx
\]

3. **Divide both sides by \( x \)** to solve for \( m \):
\[
\frac{y - b}{x} = m
\]

4. **Write it in a more conventional form**:
\[
m = \frac{y - b}{x}
\]

And there you have it! The rearranged slope formula for \( m \) is:
\[
m = \frac{y - b}{x}
\]