Which of the following inequalities matches the graph? (see attached photo)
A y _>_3x - 5
B y < 3x - 5
C y < 1/3x - 5
D The correct inequality is not listed.

- anonymous

- schrodinger

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Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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- anonymous

##### 1 Attachment

- anonymous

Alright, so lets pick up where we left off. Can you find two points on the line?

- anonymous

(4,7)

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## More answers

- anonymous

Yup, that's one, good job.

- anonymous

@ilovenyc Can you find another one?

- anonymous

(2,8)

- anonymous

@ilovenyc Well, go over to 2 on the x axis, and then go up until you hit the line. What y are you at? That's how you get a point.

- anonymous

(2,0)?

- anonymous

@ilovenyc Not quite, although the drawing isn't too great. (2,1) is on the line.

- anonymous

Do you see how that works?

- anonymous

YES

- anonymous

Great! So now, do you remember how to find the slope?

- anonymous

To find the slope m of the line segment joining the points, use the slope formula

- anonymous

Right, so try doing that with (2,1) and (4,7)

- anonymous

@ilovenyc Making any progress, or do you need some help?

- anonymous

need some help do i add those both together?

- anonymous

Not quite, it's more of a subtraction. Here's the slope formula:
\[\frac{y_2-y_1}{x_2-x_1} \; \; \; x_1 = 2 \; \; \; x_2 = 4 \; \; \; y_1=1 \; \; \; y_2=7 \]

- anonymous

@ilovenyc So see if you can use that to find the slope. I'll be back in just a little bit.

- anonymous

@srossd so i need to subtract that

- anonymous

@ilovenyc Just use that formula I wrote, plug in the numbers. And now I'll be back in a little bit :).

- anonymous

is the answer 13?

- anonymous

No, here's another hint:
\[\frac{7-1}{4-2}\]

- anonymous

And ok, now I'm actually leaving for a little bit.

- anonymous

Just a few minutes, though.

- anonymous

@ilovenyc Alright, I'm back now. So did you get the slope from that?

- anonymous

6,and 2

- anonymous

Well, 6 divided by 2.

- anonymous

So the slope ends up being 3.

- anonymous

@ilovenyc So now you know that the line will be y=3x+b. So plug in x = 0 to that, and you'll be y=b. So look at the graph, and go to the point where x=0. Find what y is.

- anonymous

|dw:1356749491751:dw|

- anonymous

-4?

- anonymous

The drawing is bad again, it's actually -5. But close enough that I'm pretty sure you get it.

- anonymous

So if your equation was y=3x+b, and b=-5, what's your final equation?

- anonymous

2 = 3*(-4) + b?

- anonymous

No, no - just plug in the value of b (-5) to y=3x+b. The x and y should stay.

- anonymous

okay

- anonymous

@ilovenyc Do you understand, or do you need some help?

- anonymous

need some help

- anonymous

Ok, so you solved for b, so just put it where b was. The equation comes out to be y=3x-5.

- anonymous

Do you see how that works, plugging in -5 for b?

- anonymous

so B is the answer

- anonymous

Actually, it's A, since everything above the line is shaded. B would be the opposite shading.

- anonymous

oh okay

- anonymous

But still, good job!

- anonymous

And again, sorry for elongating this so much - I just wanted to make sure you understand how to do it.

- anonymous

@ilovenyc So do you feel like you have a good grasp on how to do this type of problem now?

- anonymous

@srossd i think so...

- anonymous

Alright, good. I can make up another one for you to try if you want.

- anonymous

well i have more problems that i need to do on my homework

- anonymous

Oh, ok. Need help with those?

- anonymous

yes

- anonymous

Ok, want to post a new problem?

- anonymous

@ilovenyc I'll be on the lookout for a new post.

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