Question

What three points would you graph for -3x + 2y = 2

Answer 1

Do you know how to find the slope? y=mx+b?

Answer 2

No :(

Answer 3

Okay, start by solving for y.

Answer 4

How do I do that?

Answer 5

-3x+2y=2

So you want to get y by itself.

Answer 6

Add 3x to both sides, so you get 2y=3x+2

Answer 7

Then in order to get y completely alone, divide everything by 2... So you have y=(3/2)x+1

Answer 8

Are you with me so far?

Answer 9

Kind of. But I'm confused. I do online school and this was never explained in the lesson... I reviewed it many times.

Answer 10

Ah, okay. I'm homeschooled to, so I understand. Alright I'll start from the beginning.

Answer 11

Thank you!

Answer 12

In order to graph something you have to find the slope. The standard form of slope is y=mx+b

Answer 13

So when you have-3x+2y=2, you have to put in in the form y=mx+b.

Answer 14

With me so far?

Answer 15

yes!

Answer 16

Okay. So you need to solve for y. How do you get it alone? You do the opposite of the signs in the problem. So because you have -3x, you add it to both sides. Understand?

Answer 17

Yes I do

Answer 18

Alright, so you're left with 2y=3x+2. And then you divide by 2. Which is how we get the slope: y=(3/2)x+1

Answer 19

Do you have any questions about how to do that part?

Answer 20

No, I understand that much. But then I don't understand how I would get my points from that

Answer 21

Okay.

Answer 22

When you're graphing, the parts of the equation y=mx+b that you need to pay attention to are m and b.

Answer 23

M is the slope, and b is the y-intercept. Catch me?

Answer 24

oh, okay

Answer 25

So first you plot b, which is one. Draw a dot one spot up on the y axis.

Answer 26

Then, since the slope is 3/2, you go up three, and to the right two. Where does that land? That is your point.

Answer 27

So 2,4 is my first point? Since I started at 1

Answer 28

Is it? =) Let me check for you.

Answer 29

Yes, you're right. So you need three points, correct?

Answer 30

Correct

Answer 31

Would I just continue to rise 3 and run two? or am i completely off? :/

Answer 32

No, you're right. =) Now, sometimes you run out of room on your graph going up. So you can also go down. Do you know how to do that with your slope of 3/2?

Answer 33

No, I don't

Answer 34

Wait but just to make sure my three plots would be (3,4) (4,7) (6,10)

Answer 35

omg i meant 2,4

Answer 36

(2,4), not three

Answer 37

yes! I meant to say that

Answer 38

Okay. You've got it then. So as far as going down, you just turn the slope negative =) To go the opposite way, use the opposite sign. It's really simple =)

Answer 39

Oh my gosh, thank you so much! I've been struggling with this for two days. You're a life saver!

Answer 40

Haha, I totally understand how hard it can be when you don't have a teacher to explain it to you =) I'm glad I could help. Let me know if you have any more questions.

Answer 41

Would you be able to help me through one more problem please?

Answer 42

Sure, whatcha got?

Answer 43

-x + 2y = 2

Answer 44

Okay, so try putting it in the standard form of slope: y=mx+b.

Answer 45

Do you know what to do first?

Answer 46

Do I add?

Answer 47

Mhmmm, good. Add x to both sides. So you would get....

Answer 48

Uhhh 1x + 3y = 2? Or do I add to the 2? :/

Answer 49

... What? Lol you lost me. Isn't the problem -x+2y=2?

Answer 50

yes!

Answer 51

If you add x, you should get 2y=x+2

Answer 52

I'm really horrible at math and I don't learn very fast.

Answer 53

It's okay! Do you understand how I get 2y=x+2?

Answer 54

Yes I do! So you only add to one number then?

Answer 55

Do you understand combining like terms?

Answer 56

Kind of... I was hospitalized my entire freshman year and I missed half of the year of algebra. So I don't know a lot of things I should.

Answer 57

But I feel like combining like terms kind of explains itself..

Answer 58

Yes. So because there aren't any other x terms in the problem, you don't have a change in numbers.

Answer 59

Okay, that makes sense

Answer 60

All you're doing is moving x from the left side to the right side.

Answer 61

So we have 2y=x+2. Do you know what to do next?

Answer 62

divide?

Answer 63

Yes. So if you divide each term by 2, what do you get?

Answer 64

I'm not sure what I would do with x since it is only a variable

Answer 65

When you have x, you should always assume there's a 1 in front of it. 1x is the same as x. -1x is the same as -x. Does that make sense?

Answer 66

Oh, okay. Yeah it does!

Answer 67

Okay, so if you divide each term by 2, what do you get?

Answer 68

y = 2x + 1

Answer 69

Not quite.