To rearrange the slope formula \( y = mx + b \) to solve for \( m \), follow these steps:
-
Start with the original equation:
\[ y = mx + b \] -
Subtract \( b \) from both sides:
\[ y - b = mx \] -
Now, to isolate \( m \), divide both sides by \( x \) (assuming \( x \neq 0 \)):
\[ \frac{y - b}{x} = m \] -
Final result:
\[ m = \frac{y - b}{x} \]
And that is how you rearrange the slope formula to solve for \( m \).