Rearrange the slope formula y=mx+b

Question

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 \( m \), 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 with \( m \): \[ y - b = mx \]

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

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

Thus, we have successfully rearranged the slope formula for \( m \): \[ m = \frac{y - b}{x} \]

Answer 2

can you make it shorter

Answer 3

Certainly! Here’s the rearrangement of the slope formula \( y = mx + b \) for \( m \) in a more concise manner:

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

2. Subtract \( b \) from both sides: \[ y - b = mx \]

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

And that's the rearranged formula for \( m \): \[ m = \frac{y - b}{x} \]