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Math/209

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How do I find the set of all points of y=-8 on a graph?

  • Math/209 -

    Any equation in x and y merely gives you a description of the relationship between the x and y coordinates of the points in a relation.
    e.g.
    x=y = 6 means that as long as the x and the y of a given point add up to 6, that point belongs.

    So in your case it says that y = -8 , with no mention of x.
    That means that we don't put any restriction on x and x can be anything we want it to be
    as long as our y is -8, anything goes

    so some points:,
    (1,-8), (5,-8), (-3,-8), (3.56,-8), (√2,-8), (0,-8), ...

  • typo - Math/209 -

    4th line should have been

    x+y = 6 means that as long as the x and the y of a given point add up to 6, that point belongs.

    but you probably guessed that anyway.

  • Math/209 -

    Can you please explain to me how you find the points, such as (1,-8) and (-3,-8)are mulitilying, adding, what exactly do I have to do to get this?

  • Math/209 -

    As I stated, since there is no x in your equation, x can be any value you want it to be, as long as the y value is -8.

    so I just made up any x I could think of.
    There is no mathematical operation involved at all, since all it said that y = -8 or
    "the y value has to be -8"

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