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tina-ann

  • 5 years ago

solve the system of equations by graphing, f(x)=-1/2x +2 g(x)=9/2x -8

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  1. 3lroy
    • 5 years ago
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    ok

  2. 3lroy
    • 5 years ago
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    let me see

  3. tina-ann
    • 5 years ago
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    someone please help me

  4. 3lroy
    • 5 years ago
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    but its pretty simple

  5. tina-ann
    • 5 years ago
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    not for me i really suck at math, please help me step by step

  6. dumbcow
    • 5 years ago
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    is this correct f(x) = -(1/2)x + 2 f(x) = (9/2)x - 8

  7. tina-ann
    • 5 years ago
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    not sure how to make the fraction symbols for -1/8 and 9/2

  8. dumbcow
    • 5 years ago
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    thats ok me neither. both of these are linear of the form y = mx+b m = slope (rise/run) b = y-intercept (where it crosses y-axis) Now we need to graph each one First identify y-intercept for our first point 1) b = 2 2) b = -8 put these points on the graph on the y-axis

  9. dumbcow
    • 5 years ago
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    Next we look at slope to find second point 1) m = -1/2 This means starting at our y-intercept we go down 1 and over to right 2, repeat process for additional points 2) m=9/2 This means starting at y-intercept go up 9 and over to right 2 connect points to make each line point where they intersect is the solution

  10. tina-ann
    • 5 years ago
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    in the begining the first points b=2 b=-8 is that graphed as (2,-8)?

  11. dumbcow
    • 5 years ago
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    oh sorry i meant 1) to mean line 1 and 2) to mean line 2 they are separate points the x value is always zero for the y-intercept (0,2) (0,-8)

  12. tina-ann
    • 5 years ago
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    ok im really bad at this stuff

  13. dumbcow
    • 5 years ago
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    when you think y-intercept, think y-axis....points will be directly on y-axis

  14. tina-ann
    • 5 years ago
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    ok, so back to m=-1/2 and m=9/2

  15. dumbcow
    • 5 years ago
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    yes start with the first one go to starting point (0,2) -1 means go down 1 2 means go right 2 plot a point

  16. tina-ann
    • 5 years ago
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    ok so after i graphed them i came up with (2,1)?

  17. dumbcow
    • 5 years ago
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    correct this is the point where they cross

  18. tina-ann
    • 5 years ago
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    ok do u have time to help me with more

  19. dumbcow
    • 5 years ago
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    for a little bit, if nothing else i'll give you the steps

  20. tina-ann
    • 5 years ago
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    ok f(x)=-1/8x-3 g(x)=5/8x-9

  21. dumbcow
    • 5 years ago
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    same thing solve by graphing

  22. dumbcow
    • 5 years ago
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    do the exact same steps we did before the only thing that changes is the slope and y-intercept

  23. dumbcow
    • 5 years ago
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    for f(x) = mx + b m=-1/8 b=-3

  24. dumbcow
    • 5 years ago
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    can you graph the first point from there

  25. tina-ann
    • 5 years ago
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    start at 0 and go down the y to -3

  26. dumbcow
    • 5 years ago
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    good

  27. tina-ann
    • 5 years ago
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    same for (0,-8)

  28. tina-ann
    • 5 years ago
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    they intercept at (2,-3) is that correct?

  29. dumbcow
    • 5 years ago
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    careful the -8 was part of the slope for the first line

  30. dumbcow
    • 5 years ago
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    the other y-intercept would be (0,-9)

  31. tina-ann
    • 5 years ago
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    right , after i graphed them i got (2,-3)

  32. dumbcow
    • 5 years ago
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    remember what the difference between m and b are another way to think of it is the slope is always the number associated with the x, y-intercept is always the constant value

  33. dumbcow
    • 5 years ago
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    no you should get (8,-4)

  34. dumbcow
    • 5 years ago
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    starting at (0,-3) go down 1 over right 8

  35. tina-ann
    • 5 years ago
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    ok i got it

  36. dumbcow
    • 5 years ago
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    ok good keep repeating those steps gotta go good luck

  37. tina-ann
    • 5 years ago
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    thank you so much

  38. dumbcow
    • 5 years ago
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    your welcome

  39. tina-ann
    • 5 years ago
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    thank you so much

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