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ilovenyc

  • 3 years ago

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. ilovenyc
    • 3 years ago
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  2. srossd
    • 3 years ago
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    Alright, so lets pick up where we left off. Can you find two points on the line?

  3. ilovenyc
    • 3 years ago
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    (4,7)

  4. srossd
    • 3 years ago
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    Yup, that's one, good job.

  5. srossd
    • 3 years ago
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    @ilovenyc Can you find another one?

  6. ilovenyc
    • 3 years ago
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    (2,8)

  7. srossd
    • 3 years ago
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    @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.

  8. ilovenyc
    • 3 years ago
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    (2,0)?

  9. srossd
    • 3 years ago
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    @ilovenyc Not quite, although the drawing isn't too great. (2,1) is on the line.

  10. srossd
    • 3 years ago
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    Do you see how that works?

  11. ilovenyc
    • 3 years ago
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    YES

  12. srossd
    • 3 years ago
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    Great! So now, do you remember how to find the slope?

  13. ilovenyc
    • 3 years ago
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    To find the slope m of the line segment joining the points, use the slope formula

  14. srossd
    • 3 years ago
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    Right, so try doing that with (2,1) and (4,7)

  15. srossd
    • 3 years ago
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    @ilovenyc Making any progress, or do you need some help?

  16. ilovenyc
    • 3 years ago
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    need some help do i add those both together?

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

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

  19. ilovenyc
    • 3 years ago
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    @srossd so i need to subtract that

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

  21. ilovenyc
    • 3 years ago
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    is the answer 13?

  22. srossd
    • 3 years ago
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    No, here's another hint: \[\frac{7-1}{4-2}\]

  23. srossd
    • 3 years ago
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    And ok, now I'm actually leaving for a little bit.

  24. srossd
    • 3 years ago
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    Just a few minutes, though.

  25. srossd
    • 3 years ago
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    @ilovenyc Alright, I'm back now. So did you get the slope from that?

  26. ilovenyc
    • 3 years ago
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    6,and 2

  27. srossd
    • 3 years ago
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    Well, 6 divided by 2.

  28. srossd
    • 3 years ago
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    So the slope ends up being 3.

  29. srossd
    • 3 years ago
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    @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.

  30. srossd
    • 3 years ago
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    |dw:1356749491751:dw|

  31. ilovenyc
    • 3 years ago
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    -4?

  32. srossd
    • 3 years ago
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    The drawing is bad again, it's actually -5. But close enough that I'm pretty sure you get it.

  33. srossd
    • 3 years ago
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    So if your equation was y=3x+b, and b=-5, what's your final equation?

  34. ilovenyc
    • 3 years ago
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    2 = 3*(-4) + b?

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

  36. ilovenyc
    • 3 years ago
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    okay

  37. srossd
    • 3 years ago
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    @ilovenyc Do you understand, or do you need some help?

  38. ilovenyc
    • 3 years ago
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    need some help

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

  40. srossd
    • 3 years ago
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    Do you see how that works, plugging in -5 for b?

  41. ilovenyc
    • 3 years ago
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    so B is the answer

  42. srossd
    • 3 years ago
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    Actually, it's A, since everything above the line is shaded. B would be the opposite shading.

  43. ilovenyc
    • 3 years ago
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    oh okay

  44. srossd
    • 3 years ago
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    But still, good job!

  45. srossd
    • 3 years ago
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    And again, sorry for elongating this so much - I just wanted to make sure you understand how to do it.

  46. srossd
    • 3 years ago
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    @ilovenyc So do you feel like you have a good grasp on how to do this type of problem now?

  47. ilovenyc
    • 3 years ago
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    @srossd i think so...

  48. srossd
    • 3 years ago
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    Alright, good. I can make up another one for you to try if you want.

  49. ilovenyc
    • 3 years ago
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    well i have more problems that i need to do on my homework

  50. srossd
    • 3 years ago
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    Oh, ok. Need help with those?

  51. ilovenyc
    • 3 years ago
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    yes

  52. srossd
    • 3 years ago
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    Ok, want to post a new problem?

  53. srossd
    • 3 years ago
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    @ilovenyc I'll be on the lookout for a new post.

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