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Math Help - Finding Distances - Please help

  1. #1
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    Finding Distances - Please help

    Find the distance from the point P(3,5) to the line x= -2

    I'd greatly appreciate your help. Thanks.
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  2. #2
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    By this, I assume you need to find the shortest distance to the line. Personally, I would simple draw it, connect the dots, and count.
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  3. #3
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    could you explain, since x= -2 is a vertical line that is undefined?
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  4. #4
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    Imagine a point anywhere, except on the line x = -2. Then that point's shortest path to the line x = -2 is a horizontal line whose length is the absolute value of the difference between this point's x-coordinate and -2.

    Here you have the point (3, 5), whose x-coordinate is 3. The corresponding shortest distance to the line x = -2 is then |3-(-2)| = |5| = 5.

    I know a picture is worth a thousand words but I don't know how to make pictures of graphs.

    EDIT: Note this distance would be the same regardless of the value of y.
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  5. #5
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    Every point on the line x=-2 is 2 units from the y-axis.
    How far is the point (3,5) from the y-axis?
    Now put then together.
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