Change the given equation into slope-intercept form. 4x – 3y = -12

- anonymous

Change the given equation into slope-intercept form. 4x – 3y = -12

- katieb

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- anonymous

Do you know the equation for the slope-intercept form?

- anonymous

no this is a pretest so i havent learned it exactly yet

- anonymous

Ok!

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## More answers

- anonymous

The slope-intercept form is: y= ax+b

- anonymous

As you can see, we're trying to isolate the y on one side and bring everything else to the other.

- anonymous

The y is also positive and has only one of them ( So there is not 2y = ax + b for example)

- anonymous

ok

- anonymous

im still confused

- anonymous

Let's do it step by step. Can you make your y by itself? (Bring the x over)

- anonymous

ok. and no, i dont know how to do any of it. Im new to this kind of stuff and its confusing lol

- anonymous

I'll give you a simple equation x + 1 = 5

- anonymous

Would it be mathematically correct to say that x = 4?
Because
x+1-1 = 5-1

- anonymous

yes

- anonymous

Exactly! So it is the same thing here but we add something harder. We have to move variables to the other side as well!

- anonymous

4x -3y = 12
Would it be correct to say that
4x-4x-3y = 12-4x ???

- anonymous

So -3y = 12-4x?

- anonymous

ok but whats next?

- anonymous

-3/2?

- anonymous

Well as you can see, we've already isolated the y. What we want to do is get only one y and to make it positive.

- anonymous

How do we get rid of the -3 in front of y?

- anonymous

divide it by 3?

- anonymous

By -3, close ;)

- anonymous

So now... y = ?

- anonymous

1

- anonymous

Well there is one y but I mean what is on the other side of y

- anonymous

what is 12/-3 and -4x/-3

- anonymous

-4 is the first one, the other us a decimal 1.33 repeating

- anonymous

Correct. You could also leave it as a fraction.

- anonymous

So y = 4/3x -4

- anonymous

That would be your answer. 4/3 is the slope and -4 is the y-intercept

- pottersheep

It has to be in y = mx + b form

- anonymous

so it would be D?

- anonymous

We just did it together....y = 4/3x -4

- anonymous

You said it yourself.... -4!!!

- anonymous

lol. sorry i meant C. thankyouuuu

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