Question

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

Answer 1

To rearrange the slope formula \( y = mx + b \) for the quantity of interest \( m \), we will isolate \( m \) on one side of the equation. Here are the steps:

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

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

3. **Divide both sides by \( x \) to solve for \( m \)**:
\[
m = \frac{y - b}{x}
\]

Now, the slope \( m \) is isolated:
\[
m = \frac{y - b}{x}
\]

This is the rearranged formula for \( m \) in terms of \( y \), \( b \), and \( x \).