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:

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