Question

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

(show all of your work). If you want you can upload a picture of your work using the photo icon

Answer 1

To rearrange the slope formula \( y = mx + b \) for the quantity of interest \( m \), 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 move the \( b \) term to the left:
\[
y - b = mx
\]

3. **Now, divide both sides by \( x \)** to isolate \( m \):
\[
\frac{y - b}{x} = m
\]

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

Thus, the rearranged formula for \( m \) in terms of \( y \), \( b \), and \( x \) is:
\[
m = \frac{y - b}{x}
\]

This shows that \( m \) (the slope) can be calculated using the difference between \( y \) and \( b \) divided by \( x \).