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-   -   Function representing all points equidistant from. (https://www.askmehelpdesk.com/showthread.php?t=344918)

  • Apr 22, 2009, 05:47 PM
    mathleteggg
    Function representing all points equidistant from.
    1. Find a function to represent the set of all points equidistant from the point (-1,3) and the line y=7

    2. Find a relation to represent the set of all points equidistant from the point (2,3) and the line x=-1

    I don't get this at all and cannot find help online or in my textbook
    Any help would be sooo much appreciated
    Thank You:D
  • Apr 22, 2009, 07:20 PM
    Unknown008
    1 Attachment(s)

    Ok, have you tried drawing the graphs, the point and find a region equidistant from the line and the point?

    Here's your line and point. I labelled your line y=7 a, your point (-1, 3) A and the function b
  • Apr 22, 2009, 07:25 PM
    Unknown008

    You'll see that any point on the line y=5 will he equidistant from both the line y=7 and the point (-1, 3)

    In fact, what is it by calculations?

    You find the equation of the perpendicular line that passes through the line y = 7 and the point (-1, 3). You then find the midpoint that line where is crosses your line and your point. You'll obtain (-1, 5). You now only need to write the equation of a line, parallel to your original line, passing through the midpoint you just got.

    Now try doing the second question.

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