Question

Rearrange the slope formula y = mx + b for the quantitative interest m show all steps

Answer 1

To rearrange the slope-intercept form of a linear equation \(y = mx + b\) to solve for the slope \(m\), follow these steps:

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

2. **Isolate the term containing \(m\):**
Subtract \(b\) from both sides:
\[
y - b = mx
\]

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

Now, we have successfully rearranged the slope formula to express \(m\) in terms of \(y\), \(b\), and \(x\):
\[
m = \frac{y - b}{x}
\]