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anonymous

  • one year ago

HElp me please!!!!!!!!

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  1. jim_thompson5910
    • one year ago
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    do you know how to graph `y = -2x - 2` ?

  2. jim_thompson5910
    • one year ago
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    y = -2x - 2 is a linear equation. Ie, a straight line

  3. jim_thompson5910
    • one year ago
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    if x = 0 for instance, then y is... y = -2x - 2 y = -2*0 - 2 ... replace x with 0 y = 0 - 2 y = -2 so we have the point (0,-2). Do you see how I got this?

  4. jim_thompson5910
    • one year ago
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    now use x = 1 if x = 1, then y = ???

  5. jim_thompson5910
    • one year ago
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    you did it right

  6. jim_thompson5910
    • one year ago
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    another point on this line is (1,-4)

  7. jim_thompson5910
    • one year ago
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    plot the two points (0,-2) and (1,-4). Draw a straight line through them since we have this sign ≥, which has a line under the ">", we will make this boundary line solid

  8. jim_thompson5910
    • one year ago
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    yeah because of that underline

  9. jim_thompson5910
    • one year ago
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    IF there wasn't an underline, then it would be a dotted or dashed boundary line

  10. jim_thompson5910
    • one year ago
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    we can use desmos to graph https://www.desmos.com/calculator

  11. jim_thompson5910
    • one year ago
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    type `y >= -2x-2` to mean \(\Large y \ge -2x-2\)

  12. jim_thompson5910
    • one year ago
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    good

  13. jim_thompson5910
    • one year ago
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    as for the other inequality y + x ≥ 0 is the same as y ≥ -x (Subtract x from both sides)

  14. jim_thompson5910
    • one year ago
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    you'll need to graph y = -x then shade above that solid boundary line

  15. jim_thompson5910
    • one year ago
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    notice how in your desmos graph, the shading is above the boundary line because of the > symbol

  16. jim_thompson5910
    • one year ago
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    do you know how to graph y = -x ?

  17. jim_thompson5910
    • one year ago
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    it's very similar to how we graphed y = -2x-2

  18. jim_thompson5910
    • one year ago
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    if x = 0, then what is y when y = -x ?

  19. jim_thompson5910
    • one year ago
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    so one point on it is (0,0)

  20. jim_thompson5910
    • one year ago
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    then if x = 1, y = ???

  21. jim_thompson5910
    • one year ago
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    yep so we know the two points on it are (0,0) and (1,-1)

  22. jim_thompson5910
    • one year ago
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    once you have y = -x graphed, you shade above the boundary line why above? because of the > sign. This only works if y is isolated why is the boundary line solid? because there is an underline under the >

  23. jim_thompson5910
    • one year ago
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    now do both graphs at the same time

  24. jim_thompson5910
    • one year ago
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    very good

  25. jim_thompson5910
    • one year ago
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    the final step is to only shade where the two regions overlap one another

  26. jim_thompson5910
    • one year ago
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    yeah pretty much

  27. jim_thompson5910
    • one year ago
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    yeah you follow all those steps. Using desmos, or anything like it, is a good way to check the result

  28. jim_thompson5910
    • one year ago
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    no problem

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