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Math Help - Write Equation

  1. #1
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    Write Equation

    Hello all,
    So I have been writing equations all day using point-slope with parallel line, with 2 sets of points but now I have hit a wall.


    Write an equation for the vertical and the horizontal lines that pass through the point (5,1) in x,y coordinates.

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  2. #2
    Junior Member Pinsky's Avatar
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    I'm not sure i understood you right, but from what need i would use
    x=5
    that is the vertical line parallel with the y axis which crosses the x axis in point 5
    y=1
    this is the horizontal line parallel with the x axis which crosses the y axis in point 1.

    They both cross in point (5,1)
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  3. #3
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    Hello,
    Well this is what the question asks:

    #58
    Write equation for the vertical and horizontal lines passing through the point (5,1) in (x,y) coordinates.


    So, I guess I am supposed to write an equation for both lines, I have done a couple of these, but normally I get more then just the (x,y) of one point. Rather every other question gave me either 2 point (x1,y1),(x2,y2) or 1 point and slope. This one completely lost me.
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  4. #4
    Junior Member Pinsky's Avatar
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    I don't know any other way than this one. I've drawn (in paint ) how does it look on a graph.
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  5. #5
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    I could be wrong....

    Well for starters there is the equation in standard form;

    Ax+By=C

    and then there is the Slope-intercept equation;

    Y=Mx+B

    as well as this one, the point slope;

    Y-Y1=M(X-X1)

    But given only one point.........?! well I think you might end up writing it in standard form....

    a5+b1=c

    Unless you are to graph it and your other point might end up being (0,0).....Then again Pinsky could be right all along!!!


    I do hope that I have been some sort of help........
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  6. #6
    Forum Admin topsquark's Avatar
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    You want the horizontal line through the point (5, 1).

    Please note the following fact: A horizontal line is defined to have a slope of 0. You should know that already.

    So
    y = mx + b with m = 0 becomes:

    y = b

    You are passing the point through (5, 1). Thus
    1 = b

    So the line is
    y = 1.

    Please note the following facts:
    1. The a line perpendicular to a horizontal line is a vertical line.

    2. A vertical line has an undefined slope and is of the form x = a[/tex].

    We are passing this vertical line through the point (5, 1). So
    5 = a

    So the line is x = 5.

    If you don't know those facts you simply can't do the problem. They will be in your text.

    -Dan
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