Question

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

Answer 1

The slope-intercept form of the equation of a line is given by:

\[ y = mx + b \]

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

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

1. **Subtract \( b \) from both sides**: This isolates the term containing \( m \) on one side of the equation.
\[
y - b = mx
\]

2. **Divide both sides by \( x \)**: This isolates \( m \) on the left side of the equation.
\[
m = \frac{y - b}{x}
\]

Now we have successfully rearranged the slope-intercept form to express \( m \):

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