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 \( m \), we need to isolate \( m \) on one side of the equation. 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. **To isolate \( m \), divide both sides by \( x \)** (assuming \( x \neq 0 \)):
\[
\frac{y - b}{x} = m
\]

4. **Rewrite the equation** to express \( m \) clearly:
\[
m = \frac{y - b}{x}
\]

Now, we have successfully rearranged the slope formula to solve for \( m \):
\[
m = \frac{y - b}{x}
\]