Thursday, January 29, 2009

Features of a graph

The main features of a graph are as follows:
- the understanding of vertical and horizontal
- x-axis
- y-axis
- a point
- resulting shape by connecting points
- what does x = 0 mean
- what does y = 0 mean

61 comments:

  1. hmmmm....... you know something, I know what it means when you doing the graph like when x = 0, that mean there is no change in the x-axis and same goes for the y-axis, if you know what I mean, and a point is a position on the graph or coodinate, and a shape is a shape, but what is x and y axis???? where did we get that from and why it is x and y and not some other letters and some other position except up and down??????( well vertical and horizontal)

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  2. Not really sure abt the axis and stuff...but as for the result shown by the shape of the graph....it cud either be that of a straight line or a curve....these lines are used to find the gradient....however...on a curve...each point has it's own gradient making it hard to calculate the gradient....whereas a straight line has one gradient throughout....or you can say a constant change throughout....:P

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  3. but without the axis on the graph, how would you know where are the positions of the points on the graph or where the curve or straight line is positioned............ but what I can't figure out is why it is there and who put it there??????

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  4. I didn't say there's no axis in the graph....i really don't know much about where the axis come from.....and who put it there...i'd try to get some info on that.....anyone here willing to shed some light on that...? Pls...?

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  5. wel d x- axis is the horizontal line and the y-axis is d vertical.i believe its something everyone can c...hmmm but y is it there? wait wait i think i kno. x and y are variables right? an variables r used to represent quantity. so therefore the axes r there to represent a number or sumn in correspondance to another.

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  6. oh shux, but ent d axes can also b used to find location? like when plotting a point?.....ok i dont kno. think i'm confused

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  7. well I think you are.....lol but that is what we here for......... to help with this confusion..........although it not working out so well.....lol...... but we use the axis in the global positioning devices to know where we are..... but I think it is used to make life easier for use to know where things are.......

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  8. crazykid it kinda does make sense..i mean...the variables do represent quantity or a number of something and well...the location or point is a representation of this quantity..but why axes are used...why a vertical an horizontal line..i have nooo idea

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  9. i have no idea y they use the "x" and "y" to name the axes but in order to get a point anywhere there has to be an intersection ( where the 2 lines cross) and because at 0 there is no value that is y the "x-axis" and "y-axis" intersect there....now when getting a point this is always be with respect to the intersection being 0....

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  10. why you have to ask that question now........... making my head more confused than it already is........

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  11. LOL its in the features "of a graph above"

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  12. ammm...a point is a position..isn't it ammm.. just a representation of the quantities along the x and y axes...

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  13. It's not really the A point...it's a point....any point on a graph...which is ammmm....like...lets say some value.....it represents some value on the graph....:P A value from both axis....x and y...:P

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  14. i think when x = 0 the position of x will be therefor at the origin of any graph. hence its position is parallell to that of the y axis. the position of a point when x=0 will be exactly on the y axis and its position on the y axis is determined by the value of y

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  15. ok a point........ hmmmmmm....... I guess it is a position where you are stationed or "at" where there is no change in movement.......... I think.... I need help....lol

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  16. wait..etioncen...when x=0 how cld d position be parallell to the y axis if x is at d origin..
    confuse me there..

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  17. IQ200..i think that basically is what a point is..but how about the resulting shape by connecting the points...does the shape mean like amm..lines or curves?

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  18. if I only understand what you just said I would say something.....lol..... but I think I know what you are trying to ask and well it is parallel in terms of the increase because when x=0 it could take any value on the y axis eg. when x=0 y could be equal to 9 and when x is still equal to 0 the y could be 3 also therefore it is parallel to the increase on the y-axis because it stays with the point on the y-axis...... I wonder if you understand what I said....... lol

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  19. lol..noo..have no ideaaa...lol...but i still dont understand how it cld b parallel...how could it b parallel if it IS ON the axis..

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  20. hmmmmm...... you have a point dey....lol but when points are join you do form a line or a curve but one thing how do we get that point and what is it really? we have to figure out that

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  21. exactly it is on the axis that is why it moving parallel to the values on the y-axis......... it not opposing it when it has a value......... when they both have a value they are not parallel because there will be change and that is where gradient comes in.........

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  22. wellll.....ammm...wldnt the point be given or calculated..and well u said earlier that the point is a position where there is no change...what else do we hav 2 figure out about a point??

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  23. ok..i get where u are cuming frm with the parallel thing..dont really agree but..understood..

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  24. well there is more things but that is the mystery we have to uncover........... but for now we will leave it to other people to help us........

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  25. well you don't have to agree..... ah mean that is what we here for........ to express different opinions and hear different opinions to learn what we don't know.........

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  26. What i understant is that a piont is a position or location.
    -where x and and y both = o is the origin.
    but x and y are both variables which can be given names or values on a graph to meet a specified requirements.

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  27. i think x=o means that it's where all the value of x-axis begins or has no value at all and same thing for the y aaxis

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  28. what do the resulting shape by connecting the points really mean

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  29. heay guys i need help with this one:
    how do i get gradient and the intercept on the Y axis for this equation?:

    2Y+8+3X=0

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  30. well hmmmmmm you and these questions
    well the answer for that is
    y = -1.5x - 4 and the y intercept is -4 and the gradient is -1.5 ..... if that is what you asking for.........

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  31. the steps are....
    2y+8+3x=0
    you minus 2y on both sides
    so you end up with
    8+3x= -2y
    then you divide both sides by -2
    and you end up with
    (8+3x)/-2=y
    and when you divide it out by expanding it to
    8/-2 and 3x/-2 =y
    you will get
    -4 -1.5x = y
    and it can also be writen as
    y = -1.5x -4
    which looks like that formula y = mx + c
    and since m= gradient and c= to the y intercept
    m = 1.5 and c = -4
    gradient = 1.5 and the y intercept = -4
    you think you understand what I typed.........

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  32. wow that was a really gud explaination IQ200

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  33. wel i think dat x=0 means that there r no x values only y.this is where the line plotted cuts the y axis only and its jus the same for the x axis.wel atleast i tink so.....correct me if am wrong ppl

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  34. 2Y+8+3X=0
    -2y=3x+8
    Remember y=mx+c
    m=gradient, therefore the gradient in the equation is 3.

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  35. shucks...i forgot
    -2y=3x+8
    divide the entire eq by 2
    -y=1.5x+4
    then multiply by -1
    y=-1.5x-4
    the gradient is 1.5

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  36. well thats good that everyone understands...lol..... but the confusion I think was the minus and divide signs..... according to miss.... the police.....lol

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  37. what does x = 0 mean
    what does y = 0 mean

    when x = 0....doesn't that mean the line would cut the x axis at its zero point? therefore the x intercept is also zero..likewise for the y = 0

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  38. well hell scream im sure u know that the point(0,0)is the origin where the x value is 0 as well as the y value, however if u have a point like (0,2)that means that the x value is 0 and the y value is 2 therefore the point will be on the y axis itself. thus that will be like ur y-intercept because it cuts the y axis. if u really think about it the y-ntercept always have an x value of 0. the same concepts follow for when y=0.

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  39. x=0 on the y-axis...................hmmmmmmmmmmmmmmmmm. Well dis simply means dat the x-coordinate is 0 on the y-axis.So for instance point A has coordinates (0,5)=(x,y), an x-coordinate of 0 and, a y-coordinate of 5, kwl? So if point A was 2 b ploted the x-coordinate wud be at the ORIGIN, which has coordinates (0,0). So plottin x=0 wud b the ORIGIN, and the y-coordinate wud 5 (plotted on the y-axis). So an x-coordinate wud ALWAYS BE ZERO ON THE Y-AXIS!!!!!!!! Vice versa for wen y=0..x-cordinates are ALWAYS plotted on the x-axis (horizontal axis) and, y-coordinates are ALWAYS plotted on the vertical axis!!!!!!!!!!!!!!(unless y=0)- IT IS 2 BE PLOTTED ON D ORIGIN (0,0), if either the x-coordinate or y-coordinate is 0

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  40. A point is simply a position on a graph w.r.t. x and y coordinates. For example, in the eq'n: y=5x-4, if y=2, wat is the corresponding x-coordinate?To determine the x-coordinate, when y=2, we simply SUBSTITUTE y=2 in the eq'n:
    y=5x-4, this results in: 2= 5x-4, to determine the corresponding x-coord., when y=2, we simply make 'x'THE SUBJECT OF THE FORMULA. So frm,
    2= 5x-4..............(+4)on both sides of the eq'n to eliminate (-4). So our eq'n now reads:
    6= 5x.............kwl?( we add 4 to the constant 2 to get 6 and, frm (5x-4)we add 4, so we remain wit 5x........kwl? So if, 5x=6.................. therefore x= 6/5.............................. dividin both sides of the eq'n by 5.........dis implies 5x/5=x............. and 6/5...............Hence our point is now [6/5 or 1.2, 2]......hence (1.2,2)= (x,y). In order for a point to exist dere MUST BE AN X-COORDINATE AND A Y-COORDINATE.

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  41. Wow! I like this question!!!

    In the case of x = 0, suggests that the curve or straight line cuts the y-axis atleast once.

    This is the same for the y = 0, where the x-axis is cut atleast once.

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  42. Well, I'll say x=0 when, in a curve or a straight line, it only cuts the y-axis and vice versa (when y=0 it only cuts the x-axis).

    E.g. In a question to find the values of (x,y) in a straight line.
    y=3x+2.

    When x=0.
    y=3(0)+2

    If any number multiplied by (0) is 0
    Then 3(0)=0
    Therefore, y=0+2
    Therefore, y=2 (positive2)

    When y=0.
    y(0)=3x+2

    Here y multiplied by (0)=0
    0=3x+2
    Therefore, 0-2=3x
    Therefore, -2=3x
    -2/3=x

    As seen in the calculation
    .y= 2
    .x= -2/3.

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  43. Ok ppl i did sum research and this is what i got.
    Graphs compare two variables. Each variable is plotted along an axis . A line graph has a vertical axis and a horizontal axis. So, for example, if you wanted to graph the height of a ball after you have thrown it, you could put time along the horizontal, or x-axis, and height along the vertical, or y-axis.

    each type of graph has characteristics that make it useful in certain situations. Some of the strengths of line graphs are that:

    They are good at showing specific values of data, meaning that given one variable the other can easily be determined.

    They show trends in data clearly, meaning that they visibly show how one variable is affected by the other as it increases or decreases.

    They enable the viewer to make predictions about the results of data not yet recorded.

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  44. The point where the two axes intersect is called the origin. The origin is also identified as the point (0, 0).

    The x-coordinate of a point is the value that tells you how far from the origin the point is on the horizontal, or x-axis.

    To get the x co-ordinates:

    1) Draw a straight line from the point directly to the x-axis.

    2) The number where the line hits the x-axis is the value of the x-coordinate.

    The y-coordinate of a point is the value that tells you how far from the origin the point is on the vertical, or y-axis.

    To find the y-coordinate of a point on a graph:

    1) Draw a straight line from the point directly to the y-axis.
    2) The number where the line hits the axis is the value of the y-coordinate.

    A point is the basic relationship displayed on a graph. Each point is defined by a pair of numbers containing two coordinates. A coordinate is one of a set of numbers used to identify the location of a point on a graph. Each point is identified by both an x and a y coordinate.

    Once you have the coordinates of a point you can use the ordered pair notation for labeling points. Points are identified by stating their coordinates in the form of (x, y).
    NOTE:x-coordinate always comes first.

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  45. hey the horizontal is actually the x-axis and the vertical is actually the y-axis. the line or curve connecting the two points can be explained by real life scenarios such as driving a car. as the straight line goes up the acceleration increases in the car, as it goes down the car decelerates

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  46. The x-axis is the horizontal line that makes up the graph and the y-axis is the vertical one.

    A point is basically the location and postion on the graph as co-ordinates ..u notify them as dots plotted on the graph.

    The resulting shape by connectin the pooints is simply a graph of some kind illustrating a relationship between the axis.

    y=0 gives the x value in an equation.

    x=o gives the y-value in an equation.

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  47. This comment has been removed by the author.

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  48. a point is an precise location. it is represented by an x and a y coordinate!

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  49. a connection of these specific points represent various x and y coordinates, and these specific coordines in turn represent a quantity on the y axis being compared against a quantity on the x axis

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  50. when x=0 this means that the graph can be a vertical line passing through the origin. therefore y can be any value including 0 also.
    at x=0 we can also find the y-intercept!

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  51. Since they "y" and "x" to name the axes, in order to get a point anywhere there has to be an intersection ( in which the 2 lines meet) and because at 0 there is no value that is why the "x-axis" and "y-axis" intersect at this point.However i think when getting a point this is always be with respect to the intersection which is 0 as previoslu stated.

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  52. A point on a graph, represents a spacific value with respect to the both variables on the "y" and "x" axis

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  53. vertical means running from top to bottom

    horizontal means running from left to right

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  54. x-axis means the horizontal coordinates of a graph

    y-axis means the vertical coordinates of a graph

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  55. a point is like one particular part of a graph, meaning it has its own coordinates.

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  56. x= o means that x does not have a value

    y= 0 means that y does not have a value

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  57. graphs compare two variables. Each variable is plotted along an axis . A line graph has a vertical axis and a horizontal axis. So, for example, if you wanted to graph the height of a ball after you have thrown it, you could put time along the horizontal, or x-axis, and height along the vertical, or y-axis.

    As I mentioned before, each type of graph has characteristics that make it useful in certain situations. Some of the strengths of line graphs are that:

    They are good at showing specific values of data, meaning that given one variable the other can easily be determined.

    They show trends in data clearly, meaning that they visibly show how one variable is affected by the other as it increases or decreases.

    They enable the viewer to make predictions about the results of data not yet recorded.

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