Find the equation of a line in standard form when m=3;b=-2

Question

theeric · Answer

Hi! Have you got a clue where to start? Any knowledge you can just throw out here about this?

anonymous · Answer

no but all I know is that m=3 and b=-2 and you need to find the line in standard form...

theeric · Answer

Alright, we'll go off of that. I'll tell you what the standard form of a line is (according to some of the first links on Google):$$Ax+By=C$$Do you know what the m and b represent?

anonymous · Answer

y-y1=m(x-x1)   this is how it is supposed to me then once you are done Im pretty sure you just plug it in but just don know what to do with b.

theeric · Answer

What you wrote is the "point-slope" form, where you have a point (x1, y1) and the slope, m. 

For this problem, you are given b, which is the y-intercept. It is used in "slope-intercept" form. Yes, there are many many ways to write the same line...

But you have m and b! Are you aware of slope-intercept form?$$y=mx+b$$

theeric · Answer

If you know slope-intercept form, that's good! You can use algebra to turn it into the standard form!

anonymous · Answer

yea I know I just don't know were in the world I plug in the b

theeric · Answer

Let me show you the goal:$$y=mx+b \rightarrow\rightarrow\rightarrow Ax+By=C$$

theeric · Answer

so you want, IN GENERAL (it'll be very helpful to keep your mind in "in general" mode for a moment), something times y, plus something times x, equaling something (no y or x)

theeric · Answer

One of those somethings CAN be 1! And so you might not see it, but it's there.

anonymous · Answer

magic

theeric · Answer

Example (and this is a hint, as well):$$y=1y=By \text{ where }B\text{ is }1$$

theeric · Answer

Yes!$$\rightarrow\rightarrow\rightarrow=magic!!!$$

theeric · Answer

You will do this magic :)

anonymous · Answer

$$y+2=3(x-0)$$   so I got it first I pluged everything in and I want you to tell me if I do anything wrong but then $$y+2=3x$$ the you subtract the y so it can go on the other side which it would look like this ANSWER:2=3x-y

theeric · Answer

Yep! That's one way to do it! Congrats!
All you have to do to check is look to make sure you have the $$A,B,C$$in$$C=Ax-By$$which you do! :)

anonymous · Answer

MAGIC

theeric · Answer

$$C=Ax+By$$ I mean

theeric · Answer

As long as you personally can identify A, B, and C, you've got this problem!

anonymous · Answer

ok thank you Eric!

theeric · Answer

You're very welcome! Thank yourself! I did hardly anything! :)