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

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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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