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anonymous

  • one year ago

graph -2x+4y=4 for the domain D: (-8,-4,0,4,8)

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  1. anonymous
    • one year ago
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    @pooja195 @satellite73 @MathMath101 @peachpi

  2. anonymous
    • one year ago
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    @ganeshie8 @Hero

  3. anonymous
    • one year ago
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    @triciaal

  4. anonymous
    • one year ago
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    @freckles

  5. freckles
    • one year ago
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    well we need to find first what the corresponding y values are for the listed x values... so if x=-8 then y=? use the equation -2x+4y=4 then you will ask yourself if x=-4 then y=? and so on... once we get all the points we just plot then done

  6. anonymous
    • one year ago
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    so we finding y now

  7. freckles
    • one year ago
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    have you found y for when x=-8 yet?

  8. anonymous
    • one year ago
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    y equals 2

  9. freckles
    • one year ago
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    \[-2x+4y=4 \\ \text{ so we have } x=-8 \\ -2(-8)+4y=4 \\ 16+4y=4 \\ 4y=4-16 \\ 4y=-12 \\ y=\frac{-12}{4}=-3\] are you sure?

  10. freckles
    • one year ago
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    because when I plug in -8 for x I get -3 for y

  11. anonymous
    • one year ago
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    o sorry

  12. freckles
    • one year ago
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    so we will plot (-8,-3) on our little graph paper now you go to the next number in the domain and plug in -4 for x to find what y is when x is -4

  13. anonymous
    • one year ago
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    1

  14. freckles
    • one year ago
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    close I got y=-1 \[-2(-4)+4y=4 \\ 8+4y=4 \\ 4y=4-8 \\ 4y=-4 \\ y=-1\]

  15. freckles
    • one year ago
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    so we will plot (-4,-1) on our graph also by the way instead of solving for y each time we can do it one time and just plug into that equation instead: \[-2x+4y=4 \\ \text{ add } 2x \text{ on both sides } 4y=2x+4 \\ \text{ divide both sides by 4} \\ y=\frac{2x+4}{4} \\ \text{ divide \top and bottom by 2 } \\ y=\frac{x+2}{2}\]

  16. freckles
    • one year ago
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    ok plug in the next x value

  17. freckles
    • one year ago
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    which is 0

  18. anonymous
    • one year ago
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    1

  19. freckles
    • one year ago
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    right so we will also plot (0,1)

  20. freckles
    • one year ago
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    just two more number to plug in

  21. freckles
    • one year ago
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    so much fun :p

  22. freckles
    • one year ago
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    just to summary what we have so far: \[(-8,-3) \\ (-4,-1) \\ (0,1) \\ (4,?) \\ (8,?)\]

  23. freckles
    • one year ago
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    \[(-8,-3) \\ (-4,-1) \\ (0,1) \\ (4,?) \\ (8,?) \\ y=\frac{x+2}{2} \\ (-8,-3) \\ (-4,-1) \\ (0,1) \\ (4,\frac{4+2}{2}) \\ (8, \frac{8+2}{2})\] simplify those bottom two

  24. freckles
    • one year ago
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    then plot all 5 coordinates and you are done

  25. anonymous
    • one year ago
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    -4

  26. freckles
    • one year ago
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    (4+2)/2=?

  27. freckles
    • one year ago
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    and (8+2)/2=?

  28. anonymous
    • one year ago
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    3

  29. anonymous
    • one year ago
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    5

  30. freckles
    • one year ago
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    right! \[(-8,-3) \\ (-4,-1) \\ (0,1) \\ (4,?) \\ (8,?) \\ y=\frac{x+2}{2} \\ (-8,-3) \\ (-4,-1) \\ (0,1) \\ (4,\frac{4+2}{2}) =(4,3)\\ (8, \frac{8+2}{2}) =(8,5)\]

  31. freckles
    • one year ago
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    can you plot the points: (-8,-3) (-4,-1) (4,3) (8,5)

  32. freckles
    • one year ago
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    oops and (0,1)

  33. freckles
    • one year ago
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    I will plot one point if you are unsure how to plot

  34. freckles
    • one year ago
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    (-8,-3) look at the first number which is -8 since the number is negative that means we will go left of the origin (the center aka (0,0) ) we will count 8 units to the left of the origin ... the the number which is -3 since the number is negative that means we will go down from the origin we will count down 3 units from the origin the type graphing we are doing is called rectangular ... |dw:1440643068749:dw|

  35. freckles
    • one year ago
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    see why the type of graphing is called rectangular you see a rectangle right?

  36. freckles
    • one year ago
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    but anyways the rectangle isn't (-8,-3) where those two legs of the rectangle meet that point I drew is where (-8,-3) is

  37. anonymous
    • one year ago
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    ok i get it now thank you @freckles

  38. freckles
    • one year ago
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    cool stuff :)

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