Question
Rearrange the slope formula y = mx + b for the quantity of interest m. Make sure to show each step, but make them simple.
Answers
GPT-4o mini
To rearrange the slope formula \( y = mx + b \) to solve for \( m \), follow these steps:
1. **Start with the original equation**:
\[
y = mx + b
\]
2. **Subtract \( b \) from both sides**:
\[
y - b = mx
\]
3. **Now, to isolate \( m \), divide both sides by \( x \)** (assuming \( x \neq 0 \)):
\[
\frac{y - b}{x} = m
\]
4. **Final result**:
\[
m = \frac{y - b}{x}
\]
And that is how you rearrange the slope formula to solve for \( m \).
1. **Start with the original equation**:
\[
y = mx + b
\]
2. **Subtract \( b \) from both sides**:
\[
y - b = mx
\]
3. **Now, to isolate \( m \), divide both sides by \( x \)** (assuming \( x \neq 0 \)):
\[
\frac{y - b}{x} = m
\]
4. **Final result**:
\[
m = \frac{y - b}{x}
\]
And that is how you rearrange the slope formula to solve for \( m \).