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 $m$: $$m=\frac{y-b}{x}$$