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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.

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

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Other answers:

Yup, that's one, good job.
@ilovenyc Can you find another one?
@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.
@ilovenyc Not quite, although the drawing isn't too great. (2,1) is on the line.
Do you see how that works?
Great! So now, do you remember how to find the slope?
To find the slope m of the line segment joining the points, use the slope formula
Right, so try doing that with (2,1) and (4,7)
@ilovenyc Making any progress, or do you need some help?
need some help do i add those both together?
Not quite, it's more of a subtraction. Here's the slope formula: \[\frac{y_2-y_1}{x_2-x_1} \; \; \; x_1 = 2 \; \; \; x_2 = 4 \; \; \; y_1=1 \; \; \; y_2=7 \]
@ilovenyc So see if you can use that to find the slope. I'll be back in just a little bit.
@srossd so i need to subtract that
@ilovenyc Just use that formula I wrote, plug in the numbers. And now I'll be back in a little bit :).
is the answer 13?
No, here's another hint: \[\frac{7-1}{4-2}\]
And ok, now I'm actually leaving for a little bit.
Just a few minutes, though.
@ilovenyc Alright, I'm back now. So did you get the slope from that?
6,and 2
Well, 6 divided by 2.
So the slope ends up being 3.
@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.
The drawing is bad again, it's actually -5. But close enough that I'm pretty sure you get it.
So if your equation was y=3x+b, and b=-5, what's your final equation?
2 = 3*(-4) + b?
No, no - just plug in the value of b (-5) to y=3x+b. The x and y should stay.
@ilovenyc Do you understand, or do you need some help?
need some help
Ok, so you solved for b, so just put it where b was. The equation comes out to be y=3x-5.
Do you see how that works, plugging in -5 for b?
so B is the answer
Actually, it's A, since everything above the line is shaded. B would be the opposite shading.
oh okay
But still, good job!
And again, sorry for elongating this so much - I just wanted to make sure you understand how to do it.
@ilovenyc So do you feel like you have a good grasp on how to do this type of problem now?
@srossd i think so...
Alright, good. I can make up another one for you to try if you want.
well i have more problems that i need to do on my homework
Oh, ok. Need help with those?
Ok, want to post a new problem?
@ilovenyc I'll be on the lookout for a new post.

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