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anonymous

  • one year ago

Help please

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  1. anonymous
    • one year ago
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    Choose the linear inequality that describes each graph.

  2. anonymous
    • one year ago
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    y < – 4x – 2 y > – 4x – 2 y ≤ – 4x – 2 y < 4x – 2

  3. Zale101
    • one year ago
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    Are you familiar with graphing inequalities?

  4. anonymous
    • one year ago
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    No, not really.. I barely understand Algebra

  5. Zale101
    • one year ago
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    Can you graph a standard line?

  6. anonymous
    • one year ago
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    Not really

  7. Zale101
    • one year ago
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    What math level are you currently on?

  8. anonymous
    • one year ago
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    Algebra 1B

  9. Zale101
    • one year ago
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    Before learning to graph inequalities, you are taught to graph lines and plot basic points. Correct?

  10. anonymous
    • one year ago
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    I really don't know.. because I took half of Algebra like independent studies there was no teacher to explain what I was taking.

  11. Zale101
    • one year ago
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    Btw, asalaam walikum and i hope Yemen will be freed soon.

  12. Zale101
    • one year ago
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    Okay. So then i'd have to tutor you on graphing lines. Are you ready?

  13. anonymous
    • one year ago
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    wa alaikum asalam, and in shaa Allah hopefully thanks

  14. anonymous
    • one year ago
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    Yes :)

  15. Zale101
    • one year ago
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    Let's began with the first multiple choice. y < – 4x – 2

  16. Zale101
    • one year ago
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    Every line has an equation written similar to the slope intercept form. The slope intercept form of equation is written like this : \(\Large y=mx+b\) m stands for slopes b stands for y-intercept (where the line touches the y-axis and has a x=0) and x and y are changing, while m and b are constants.

  17. Zale101
    • one year ago
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    When we have inequalities, we'll have to try to see if from a y=mx+b perspective so we can get a sense on what line we are dealing with. To do that, you basically change any inequality symbols (>, <) to an equal sign. So, \(\large y ~<~ – 4x – 2\) Will eventually become, \(\Large y=-4x-2\)

  18. Zale101
    • one year ago
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    The line is y=-4x-2 Is this equation already in a slope intercept form?

  19. anonymous
    • one year ago
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    what does it mean when you have ≤ this sign

  20. Zale101
    • one year ago
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    If we have this, let's say \(y\le x\) That means all the y values are less than or equal to x are shaded and the line is straight and bold, not dashed. It would have been a dashed line if the symbols were just less than or greater than (<,>). But when we add an equal sign next to the inequality, than it becomes a bold line. So, when graphing it, it will become like this.|dw:1439489341719:dw||dw:1439489445470:dw|

  21. Zale101
    • one year ago
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    As you can see from the graph i drew, all the y-values on the bottom of the line is shaded because the inequality is y is less than or equal to x.

  22. Zale101
    • one year ago
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    And the line is bold, not dashed, because there's an equal sign with the inequality.

  23. Zale101
    • one year ago
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    Now, back to graphing the first multple choice y = – 4x – 2 Can you graph this?

  24. anonymous
    • one year ago
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    okay I'll try to

  25. Zale101
    • one year ago
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    Thanks. I like when students participate on their problems. It gives me the sense that they are trying their best on their work.

  26. Zale101
    • one year ago
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    You can try. Allah M3ek :)

  27. anonymous
    • one year ago
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    am I right so far |dw:1439489802302:dw|

  28. Zale101
    • one year ago
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    Yes, you drew the Cartesian graph correctly. Now, you can go ahead and draw the line. It's okay if you make any mistakes because you have me to correct it for you.

  29. Zale101
    • one year ago
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    Everyone makes mistakes, including me :)

  30. Zale101
    • one year ago
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    You can start by quickly plotting two points, and draw a line across those two points.

  31. anonymous
    • one year ago
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    okay so can u help me now, im not sure what im supposed to do

  32. Zale101
    • one year ago
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    That's the easiest way to do it. There's also other ways to draw a line.

  33. Zale101
    • one year ago
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    Okay @proud_yemeniah_ are you familiar with plotting points?

  34. anonymous
    • one year ago
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    No

  35. Zale101
    • one year ago
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    I will plot one point, and you do the second point. Make sure you follow along. |dw:1439490142436:dw|

  36. Zale101
    • one year ago
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    My first point is (0,-2) You can pick whatever you want for x, i chose 0 and got -2 for y, and you can choose 1 if you want.

  37. Zale101
    • one year ago
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    Makes sense?

  38. anonymous
    • one year ago
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    so u just choose any number

  39. Zale101
    • one year ago
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    Plotting points is all about choosing whatever number you want for x, and plug that number for x into the equation to get for y. Just like how I chose 0 and plugged that into y=-4(0)-2 and got -2 for y. Yes, you can choose any number.

  40. Zale101
    • one year ago
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    What number would you like to choose?

  41. anonymous
    • one year ago
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    so can I choose for example 3 or 2

  42. Zale101
    • one year ago
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    Yes, whatever you want. What number will you choose?

  43. anonymous
    • one year ago
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    I'll choose 2

  44. Zale101
    • one year ago
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    plug that into the equation and tell me what you got for y

  45. Zale101
    • one year ago
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    and i'll have to brb

  46. anonymous
    • one year ago
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    okay, -4 (2) -2 ?

  47. anonymous
    • one year ago
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    You can help me when u come back

  48. Zale101
    • one year ago
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    I'm back. So you did: y=-4(2)-2 y=-8-2 y= ? what is y?

  49. anonymous
    • one year ago
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    -10?

  50. Zale101
    • one year ago
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    Yes. So we have two points. (0,2) and (2, -10) Can you plot these two points on this graph i drew? |dw:1439491250235:dw|

  51. Zale101
    • one year ago
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    this is for the line y=-4x-2

  52. anonymous
    • one year ago
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    I don't know how am I supposed to do it

  53. Zale101
    • one year ago
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    Can you plot (2,-10)?

  54. Zale101
    • one year ago
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    SOrry, i did something wrong

  55. anonymous
    • one year ago
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    its okay, so -10 is Y?

  56. Zale101
    • one year ago
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    |dw:1439491783291:dw|

  57. Zale101
    • one year ago
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    yes, -10 is a y-value

  58. Zale101
    • one year ago
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    (x,y) On a point, x is first, then y comes second.

  59. Zale101
    • one year ago
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    Now, before you draw a line. Is the line dashed or bold in this inequality y < – 4x – 2 ?

  60. Zale101
    • one year ago
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    Carefully look at the inequality symbol.

  61. anonymous
    • one year ago
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    dashed?

  62. Zale101
    • one year ago
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    Yes. So, our two points that we plotted we \((0,-2)\) and \((2,-10)\) We plotted those. The line is dashed. |dw:1439492035470:dw|

  63. Zale101
    • one year ago
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    What part of the graph is shaded, right or left?

  64. anonymous
    • one year ago
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    umm right

  65. Zale101
    • one year ago
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    y < – 4x – 2 y is less than -4x-2

  66. Zale101
    • one year ago
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    I'll change the wording. Is the graph shaded on the top or bottom of the graph?

  67. anonymous
    • one year ago
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    the bottom?

  68. Zale101
    • one year ago
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    Yes! :)|dw:1439492292123:dw|

  69. Zale101
    • one year ago
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    Does this look like the graph that was shown to you?

  70. anonymous
    • one year ago
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    No, this is the graph that was shown to me

  71. anonymous
    • one year ago
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    the right side was shaded

  72. Zale101
    • one year ago
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    Nope. It doesn't doe A is incorrect. We know from the graph that the line is dashed, that means the inequality is show as < or > We also know that the line is positive because it continuously goes up to the right on the positive direction. The first choice y < – 4x – 2 went downwards because it was negative 4x-2. We also know that the graph is less than than or < because the graph is shaded on the bottom of the line.

  73. Zale101
    • one year ago
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    From all those choices, which choice best fits the description.?

  74. anonymous
    • one year ago
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    well if negative doesn't work then it may be D

  75. Zale101
    • one year ago
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    Yes.

  76. Zale101
    • one year ago
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    I'm sorry if i have given you a hard time.

  77. Zale101
    • one year ago
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    Now that you know how to graph a line and inequalities, then i have done my mission :)

  78. anonymous
    • one year ago
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    Oh thank you very much.. No I actually liked going thru it and solving it together

  79. Zale101
    • one year ago
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    Anytime. Good luck and take care!

  80. anonymous
    • one year ago
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    You too thanks :) @Zale101

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