# Thread: Going from Standard form to Slope-Intercept form

1. ## Going from Standard form to Slope-Intercept form

First of all I'd like to say if you remember me in particular as being a jerk or an ass, I completely apologize. I was extremely confused at the time.

But anyways I think I can do this myself but I would like some reassurance. What are the steps of turning $\displaystyle 3x + 5y = 30$ into Slope intercept form?

2. Originally Posted by AbstractHero
First of all I'd like to say if you remember me in particular as being a jerk or an ass, I completely apologize. I was extremely confused at the time.

But anyways I think I can do this myself but I would like some reassurance. What are the steps of turning $\displaystyle 3x + 5y = 30$ into Slope intercept form?
the key is to isolate $\displaystyle y$ ...

$\displaystyle 3x + 5y = 30$

subtract $\displaystyle 3x$ from both sides ...

$\displaystyle 5y = -3x + 30$

divide both sides by $\displaystyle 5$ ...

$\displaystyle y = -\frac{3}{5}x + 6$

3. Thank you.

I always have a hard time figuring out what to do first. If my y is positive, should I remove what is before it? and If it is negative should I switch it around? Or what?

4. Consider the negative case

$\displaystyle 3x - 5y = 30$

Same as skeeter's steps. Take 3x from both sides

$\displaystyle -5y = 30-3x$

Now divide -5 from both sides.

$\displaystyle y=\frac{3x}{5}-6$