Rearrange the slope formula y=mx+b

Question

𝑦
=
𝑚
𝑥
+
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for the quantity of interest m
𝑚
. Make sure to show each step.

Answer 1

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

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

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

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

4. Finally, we can rewrite this to put \( m \) on the left side: \[ m = \frac{y - b}{x} \]

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