Question

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

Answer 1

The slope formula is written as:

\[
y = mx + b
\]

where:
- \(y\) is the dependent variable,
- \(m\) is the slope,
- \(x\) is the independent variable, and
- \(b\) is the y-intercept.

To rearrange this formula to solve for \(m\), follow these steps:

1. **Subtract \(b\) from both sides** to isolate the term containing \(m\):

\[
y - b = mx
\]

2. **Divide both sides by \(x\)** to solve for \(m\):

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

Thus, the rearranged formula for the slope \(m\) is:

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