Question

Rearrange the slope formula y = Mx + b for the quantity of interest m
m =

Answer 1

The slope formula is typically written as \( y = mx + b \), where:

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

To rearrange the formula to solve for \( m \):

1. Start with the equation:
\[
y = mx + b
\]

2. Subtract \( b \) from both sides:
\[
y - b = mx
\]

3. Divide both sides by \( x \) (assuming \( x \neq 0 \)):
\[
\frac{y - b}{x} = m
\]

Now, you have expressed \( m \) in terms of \( y \), \( b \), and \( x \):
\[
m = \frac{y - b}{x}
\]