Question

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

Answer 1

To rearrange the slope formula \(y = mx + b\) for the quantity of interest \(m\), follow these steps:

1. Start with the original equation:

\[
y = mx + b
\]

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

\[
y - b = mx
\]

3. Next, to solve for \(m\), divide both sides by \(x\) (assuming \(x \neq 0\)):

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

4. Finally, rewrite the equation to present \(m\) clearly:

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

Now, \(m\) is isolated, and the rearranged formula for the slope is:

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