Question

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

Answer 1

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

Answer 2

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

Answer 3

Ok!

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

ok

Answer 8

im still confused

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

Would it be mathematically correct to say that x = 4?

Because

x+1-1 = 5-1

Answer 13

yes

Answer 14

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

Answer 15

4x -3y = 12

Would it be correct to say that

4x-4x-3y = 12-4x ???

Answer 16

So -3y = 12-4x?

Answer 17

ok but whats next?

Answer 18

-3/2?

Answer 19

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.

Answer 20

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

Answer 21

divide it by 3?

Answer 22

By -3, close ;)

Answer 23

So now... y = ?

Answer 24

1

Answer 25

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

Answer 26

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

Answer 27

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

Answer 28

Correct. You could also leave it as a fraction.

Answer 29

So y = 4/3x -4

Answer 30

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

Answer 31

It has to be in y = mx + b form

Answer 32

so it would be D?

Answer 33

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

Answer 34

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

Answer 35

lol. sorry i meant C. thankyouuuu