Question

Here Sacapuntas! (Ignore the problem)
Choose the graph which matches the following system of equations.

5x + 2y = 2
3x - 3y = 18

Answer 1

Ok. So let me look at the graphs again and I'll walk you through this.

Answer 2

The first thing you want to do is get the system into a form you can graph. Standard form is good for solving, not so good for graphing. You remember how to solve for y, right?

Answer 3

O.O No..

Answer 4

You could possibly do the work first for all of them, then I could look over what you did.?

Answer 5

I'll do the top one. Then you do the bottom one. :D

Answer 6

BUT BUT BUT

Answer 7

No, seriously, you have to get good at this. If you cannot solve for variables you will fail math forever. It's not that hard though, honest.

Answer 8

Alright, I agree. How about this. Can I ask questions about your work?

Answer 9

Of course!

Answer 10

After I have said to myself... Hey, I know this! BUT.. I don't know that.

Answer 11

Then I would ask that... ye

Answer 12

\[5x + 2y = 2\]\[2y = 2 - 5x\]\[y = \frac{2 - 5x}{2}\]\[y = -\frac{5}{2}x + 1\]

Answer 13

Ask if you don't understand!

Answer 14

Alright, Now I am confused about how we may graph this. (I am looking at the graphs I sent you)

Answer 15

You know \(y = mx + b\)?

Answer 16

Yes

Answer 17

Sorry, Yes! was getting food.

Answer 18

Ok, so m is the slope and b is the y-intercept. From that we can make a graph!

Answer 19

Teach me master >:)

Answer 20

Ok, well, do you know what slope means?

Answer 21

Means?

Answer 22

Im not sure

Answer 23

Ok, well, mathematically, slope is just \(\frac{\Delta y}{\Delta x}\)

Answer 24

Ok simple I guess

Answer 25

It is. So, for example, a slope of \(\frac{5}{2}\) means for every 5 you go up, you go right 2.

Answer 26

If the slope is negative, just go down instead of up. Or left instead of right. Whichever way is more convenient to think about.

(You'll notice that reversing them both works the same way: for a slope of \(\frac{5}{2}\), every 5 you go down, you go left 2.)

Answer 27

Ok so far so good

Answer 28

Now, do you know what y-intercept means?

Answer 29

I would guess that is referring to the Y intercept on a graph?

Answer 30

Yes. But do you know what point that is? Like if my y-intercept is 2, what point is that?

Answer 31

like up 2

Answer 32

Correct!

Answer 33

So we know that point. And we also have a ratio that tells us "go to the right so many and then go up so many."

Answer 34

In other words, that's all we need to graph a line. :D

Answer 35

y=−5/2x+1?

Answer 36

Yes. So start by going up 1. That's our y intercept.
Now go to the left 2 and up 5. (You're going left because the slope is negative!)
Or you can go down 5 and to the right 2. You'll get a different point but notice that all three points end up on the same line.

Answer 37

Ok I am going to look at the graphs

Answer 38

Wait was # Was this problem?

Answer 39

It was the first one you gave me. So #1 I guess.

Answer 40

Choose the graph which matches the following system of equations.

5x + 2y = 2
3x - 3y = 18

Answer 41

Ok So we have one, now we need 3x - 3y = 18

Answer 42

That's the one I'm going to let you do yourself! :D

Answer 43

Idk :(

Answer 44

I am sooooo bad

Answer 45

Try! Follow the same method I used.
You'll have a little time because I need to leave for a bit. I'll be back, though.

Answer 46

B is what I got